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2672340480 = 29325115987
BaseRepresentation
bin1001111101001000…
…1010111000000000
320220020110221222100
42133102022320000
520433104343410
61121101310400
7123136343055
oct23722127000
96806427870
102672340480
111151514a57
12626b65400
13337850b74
141b4cb302c
1510991e8c0
hex9f48ae00

2672340480 has 120 divisors (see below), whose sum is σ = 9255146472. Its totient is φ = 712617984.

The previous prime is 2672340439. The next prime is 2672340487. The reversal of 2672340480 is 840432762.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2672340487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34954 + ... + 81033.

Almost surely, 22672340480 is an apocalyptic number.

2672340480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2672340480 is an abundant number, since it is smaller than the sum of its proper divisors (6582805992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2672340480 is a wasteful number, since it uses less digits than its factorization.

2672340480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116016 (or 115997 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2672340480 is about 51694.6852200495. The cubic root of 2672340480 is about 1387.7053526106.

The spelling of 2672340480 in words is "two billion, six hundred seventy-two million, three hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 115987 231974 347961 463948 579935 695922 927896 1043883 1159870 1391844 1739805 1855792 2087766 2319740 2783688 3479610 3711584 4175532 4639480 5219415 5567376 6959220 7423168 8351064 9278960 10438830 11134752 13918440 14846336 16702128 18557920 20877660 22269504 27836880 29692672 33404256 37115840 41755320 44539008 55673760 59385344 66808512 74231680 83510640 89078016 111347520 133617024 148463360 167021280 178156032 222695040 267234048 296926720 334042560 445390080 534468096 668085120 890780160 1336170240 2672340480