2952572829696 has 1728 divisors, whose sum is σ = 11542009489920. Its totient is φ = 733835427840.

The previous prime is 2952572829671. The next prime is 2952572829749. The reversal of 2952572829696 is 6969282752592.

2952572829696 is a `hidden beast` number, since 2 + 9 + 5 + 257 + 282 + 9 + 6 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72013971436 + ... + 72013971476.

It is an arithmetic number, because the mean of its divisors is an integer number (6679403640).

Almost surely, 2^{2952572829696} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2952572829696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5771004744960).

2952572829696 is an abundant number, since it is smaller than the sum of its proper divisors (8589436660224).

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

2952572829696 is an frugal number, since it uses more digits than its factorization.

2952572829696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 89 counting only the distinct ones).

The product of its digits is 587865600, while the sum is 72.

The spelling of 2952572829696 in words is "two trillion, nine hundred fifty-two billion, five hundred seventy-two million, eight hundred twenty-nine thousand, six hundred ninety-six".