2952258624 has 448 divisors, whose sum is σ = 10753344000. Its totient is φ = 791175168.

The previous prime is 2952258613. The next prime is 2952258671. The reversal of 2952258624 is 4268522592.

It is a happy number.

2952258624 is a `hidden beast` number, since 29 + 5 + 22 + 586 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a self number, because there is not a number n which added to its sum of digits gives 2952258624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10075822 + ... + 10076114.

It is an arithmetic number, because the mean of its divisors is an integer number (24003000).

Almost surely, 2^2952258624 is an apocalyptic number.

2952258624 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 2952258624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5376672000).

2952258624 is an abundant number, since it is smaller than the sum of its proper divisors (7801085376).

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

2952258624 is a wasteful number, since it uses less digits than its factorization.

2952258624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 322 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 2952258624 is about 54334.6907969485. The cubic root of 2952258624 is about 1434.5580713320.

The spelling of 2952258624 in words is "two billion, nine hundred fifty-two million, two hundred fifty-eight thousand, six hundred twenty-four".