2971494542016 has 896 divisors, whose sum is σ = 11978856529920. Its totient is φ = 697268736000.

The previous prime is 2971494541999. The next prime is 2971494542041. The reversal of 2971494542016 is 6102454941792.

2971494542016 is a `hidden beast` number, since 2 + 9 + 7 + 1 + 4 + 94 + 542 + 0 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 81278941 + ... + 81315491.

It is an arithmetic number, because the mean of its divisors is an integer number (13369259520).

Almost surely, 2^{2971494542016} is an apocalyptic number.

2971494542016 is a gapful number since it is divisible by the number (26) 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 2971494542016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5989428264960).

2971494542016 is an abundant number, since it is smaller than the sum of its proper divisors (9007361987904).

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

2971494542016 is a wasteful number, since it uses less digits than its factorization.

2971494542016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36650 (or 36634 counting only the distinct ones).

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

The spelling of 2971494542016 in words is "two trillion, nine hundred seventy-one billion, four hundred ninety-four million, five hundred forty-two thousand, sixteen".