2952458657280 has 400 divisors, whose sum is σ = 11536126020144. Its totient is φ = 715747000320.

The previous prime is 2952458657279. The next prime is 2952458657311. The reversal of 2952458657280 is 827568542592.

It is a happy number.

2952458657280 is a `hidden beast` number, since 2 + 9 + 5 + 2 + 4 + 58 + 6 + 572 + 8 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1633764 + ... + 2928156.

Almost surely, 2^{2952458657280} is an apocalyptic number.

2952458657280 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 2952458657280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5768063010072).

2952458657280 is an abundant number, since it is smaller than the sum of its proper divisors (8583667362864).

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

2952458657280 is a wasteful number, since it uses less digits than its factorization.

2952458657280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294439 (or 1294414 counting only the distinct ones).

The product of its (nonzero) digits is 96768000, while the sum is 63.

The spelling of 2952458657280 in words is "two trillion, nine hundred fifty-two billion, four hundred fifty-eight million, six hundred fifty-seven thousand, two hundred eighty".