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2740990464 = 29321931307
BaseRepresentation
bin1010001101100000…
…0011001000000000
321002000122202001100
42203120003020000
521103143143324
61131552534400
7124632014562
oct24330031000
97060582040
102740990464
111187243783
12645b51400
13348b39064
141c0063332
151109804c9
hexa3603200

2740990464 has 120 divisors (see below), whose sum is σ = 8327301840. Its totient is φ = 865548288.

The previous prime is 2740990411. The next prime is 2740990493. The reversal of 2740990464 is 4640990472.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71899 + ... + 103205.

It is an arithmetic number, because the mean of its divisors is an integer number (69394182).

Almost surely, 22740990464 is an apocalyptic number.

2740990464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2740990464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4163650920).

2740990464 is an abundant number, since it is smaller than the sum of its proper divisors (5586311376).

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

2740990464 is a wasteful number, since it uses less digits than its factorization.

2740990464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31350 (or 31331 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2740990464 is about 52354.4693794140. The cubic root of 2740990464 is about 1399.4879869172.

The spelling of 2740990464 in words is "two billion, seven hundred forty million, nine hundred ninety thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 384 456 512 576 608 684 768 912 1152 1216 1368 1536 1824 2304 2432 2736 3648 4608 4864 5472 7296 9728 10944 14592 21888 29184 31307 43776 62614 87552 93921 125228 187842 250456 281763 375684 500912 563526 594833 751368 1001824 1127052 1189666 1502736 1784499 2003648 2254104 2379332 3005472 3568998 4007296 4508208 4758664 5353497 6010944 7137996 8014592 9016416 9517328 10706994 12021888 14275992 16029184 18032832 19034656 21413988 24043776 28551984 36065664 38069312 42827976 48087552 57103968 72131328 76138624 85655952 114207936 144262656 152277248 171311904 228415872 304554496 342623808 456831744 685247616 913663488 1370495232 2740990464