2072961072 has 540 divisors, whose sum is σ = 7790293056. Its totient is φ = 529079040.

The previous prime is 2072961029. The next prime is 2072961119. The reversal of 2072961072 is 2701692702.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 66869697 + ... + 66869727.

Almost surely, 2^2072961072 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 2072961072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895146528).

2072961072 is an abundant number, since it is smaller than the sum of its proper divisors (5717331984).

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

2072961072 is an equidigital number, since it uses as much as digits as its factorization.

2072961072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 2072961072 is about 45529.7822529386. The cubic root of 2072961072 is about 1275.0592968962.

The spelling of 2072961072 in words is "two billion, seventy-two million, nine hundred sixty-one thousand, seventy-two".