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2102661840 = 243523380917
BaseRepresentation
bin111110101010100…
…0001001011010000
312102112112021210110
41331111001023100
513301240134330
6544351201320
7103051221306
oct17525011320
95375467713
102102661840
11989996a64
124a8216240
13276810606
1415d380276
15c48e0db0
hex7d5412d0

2102661840 has 80 divisors (see below), whose sum is σ = 6801671808. Its totient is φ = 536329728.

The previous prime is 2102661839. The next prime is 2102661857. The reversal of 2102661840 is 481662012.

2102661840 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2102661798 and 2102661807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184939 + ... + 195978.

Almost surely, 22102661840 is an apocalyptic number.

2102661840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102661840 is an abundant number, since it is smaller than the sum of its proper divisors (4699009968).

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

2102661840 is a wasteful number, since it uses less digits than its factorization.

2102661840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380956 (or 380950 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 2102661840 is about 45854.7908075045. The cubic root of 2102661840 is about 1281.1199995327.

The spelling of 2102661840 in words is "two billion, one hundred two million, six hundred sixty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 380917 761834 1142751 1523668 1904585 2285502 3047336 3809170 4571004 5713755 6094672 7618340 8761091 9142008 11427510 15236680 17522182 18284016 22855020 26283273 30473360 35044364 43805455 45710040 52566546 70088728 87610910 91420080 105133092 131416365 140177456 175221820 210266184 262832730 350443640 420532368 525665460 700887280 1051330920 2102661840