2072971764 has 72 divisors (see below), whose sum is σ = 5441549568. Its totient is φ = 690042240.

The previous prime is 2072971753. The next prime is 2072971781. The reversal of 2072971764 is 4671792702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1322109 + ... + 1323675.

Almost surely, 2^2072971764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2072971764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720774784).

2072971764 is an abundant number, since it is smaller than the sum of its proper divisors (3368577804).

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

2072971764 is a wasteful number, since it uses less digits than its factorization.

2072971764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2947 (or 2933 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 2072971764 is about 45529.8996704363. The cubic root of 2072971764 is about 1275.0614890761.

The spelling of 2072971764 in words is "two billion, seventy-two million, nine hundred seventy-one thousand, seven hundred sixty-four".