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2374256640 = 21135761181
BaseRepresentation
bin1000110110000100…
…0100100000000000
320010110120201211010
42031201010200000
514330302203030
61031332320520
7112556564010
oct21541044000
96113521733
102374256640
11100922a178
12563173140
132bab742b2
1418747bc40
15dd68d6b0
hex8d844800

2374256640 has 384 divisors, whose sum is σ = 8871932160. Its totient is φ = 530841600.

The previous prime is 2374256617. The next prime is 2374256699. The reversal of 2374256640 is 466524732.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13117350 + ... + 13117530.

It is an arithmetic number, because the mean of its divisors is an integer number (23103990).

Almost surely, 22374256640 is an apocalyptic number.

2374256640 is a gapful number since it is divisible by the number (20) 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 2374256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435966080).

2374256640 is an abundant number, since it is smaller than the sum of its proper divisors (6497675520).

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

2374256640 is a wasteful number, since it uses less digits than its factorization.

2374256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 39.

The square root of 2374256640 is about 48726.3444144951. The cubic root of 2374256640 is about 1334.0616110252.

The spelling of 2374256640 in words is "two billion, three hundred seventy-four million, two hundred fifty-six thousand, six hundred forty".