2952837089664 has 1536 divisors, whose sum is σ = 10943326126080. Its totient is φ = 684343296000.

The previous prime is 2952837089659. The next prime is 2952837089729. The reversal of 2952837089664 is 4669807382592.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18807879474 + ... + 18807879630.

It is an arithmetic number, because the mean of its divisors is an integer number (7124561280).

Almost surely, 2^{2952837089664} is an apocalyptic number.

2952837089664 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 2952837089664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5471663063040).

2952837089664 is an abundant number, since it is smaller than the sum of its proper divisors (7990489036416).

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

2952837089664 is a wasteful number, since it uses less digits than its factorization.

2952837089664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 69.

The spelling of 2952837089664 in words is "two trillion, nine hundred fifty-two billion, eight hundred thirty-seven million, eighty-nine thousand, six hundred sixty-four".