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2490952464 = 24327112131571
BaseRepresentation
bin1001010001111000…
…1110101100010000
320102121011111101200
42110132032230100
520100140434324
61051101431200
7115504514040
oct22436165420
96377144350
102490952464
111069094500
1259626b500
133090b2290
14198b77720
15e8a3eec9
hex9478eb10

2490952464 has 360 divisors, whose sum is σ = 9436854336. Its totient is φ = 596851200.

The previous prime is 2490952379. The next prime is 2490952469. The reversal of 2490952464 is 4642590942.

It is not an unprimeable number, because it can be changed into a prime (2490952469) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1584799 + ... + 1586369.

Almost surely, 22490952464 is an apocalyptic number.

2490952464 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 2490952464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718427168).

2490952464 is an abundant number, since it is smaller than the sum of its proper divisors (6945901872).

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

2490952464 is a wasteful number, since it uses less digits than its factorization.

2490952464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1627 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 2490952464 is about 49909.4426336340. The cubic root of 2490952464 is about 1355.5695764961.

The spelling of 2490952464 in words is "two billion, four hundred ninety million, nine hundred fifty-two thousand, four hundred sixty-four".