2952088841664 has 336 divisors, whose sum is σ = 8992181802240. Its totient is φ = 923953029120.

The previous prime is 2952088841599. The next prime is 2952088841699. The reversal of 2952088841664 is 4661488802592.

2952088841664 is a `hidden beast` number, since 2 + 9 + 5 + 208 + 8 + 8 + 416 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 633901224 + ... + 633905880.

It is an arithmetic number, because the mean of its divisors is an integer number (26762445840).

Almost surely, 2^{2952088841664} is an apocalyptic number.

2952088841664 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 2952088841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4496090901120).

2952088841664 is an abundant number, since it is smaller than the sum of its proper divisors (6040092960576).

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

2952088841664 is a wasteful number, since it uses less digits than its factorization.

2952088841664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5568 (or 5555 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 63.

The spelling of 2952088841664 in words is "two trillion, nine hundred fifty-two billion, eighty-eight million, eight hundred forty-one thousand, six hundred sixty-four".