2957166013824 has 576 divisors, whose sum is σ = 9773160742800. Its totient is φ = 856525824000.

The previous prime is 2957166013811. The next prime is 2957166013849. The reversal of 2957166013824 is 4283106617592.

It is a happy number.

2957166013824 is a `hidden beast` number, since 2 + 9 + 5 + 7 + 1 + 6 + 601 + 3 + 8 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 408275547 + ... + 408282789.

It is a 2-persistent number, because it is pandigital, and so is 2⋅2957166013824 = 5914332027648, but 3⋅2957166013824 = 8871498041472 is not.

Almost surely, 2^{2957166013824} is an apocalyptic number.

2957166013824 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 2957166013824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4886580371400).

2957166013824 is an abundant number, since it is smaller than the sum of its proper divisors (6815994728976).

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

2957166013824 is a wasteful number, since it uses less digits than its factorization.

2957166013824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7415 (or 7389 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2957166013824 in words is "two trillion, nine hundred fifty-seven billion, one hundred sixty-six million, thirteen thousand, eight hundred twenty-four".