2071494012960 has 576 divisors, whose sum is σ = 7413007859712. Its totient is φ = 546234264576.

The previous prime is 2071494012937. The next prime is 2071494012971. The reversal of 2071494012960 is 692104941702.

2071494012960 is a `hidden beast` number, since 2 + 0 + 71 + 494 + 0 + 1 + 2 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2187427207 + ... + 2187428153.

It is an arithmetic number, because the mean of its divisors is an integer number (12869805312).

Almost surely, 2^{2071494012960} is an apocalyptic number.

2071494012960 is a gapful number since it is divisible by the number (20) 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 2071494012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706503929856).

2071494012960 is an abundant number, since it is smaller than the sum of its proper divisors (5341513846752).

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

2071494012960 is a wasteful number, since it uses less digits than its factorization.

2071494012960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 2071494012960 in words is "two trillion, seventy-one billion, four hundred ninety-four million, twelve thousand, nine hundred sixty".