2072556512 has 72 divisors (see below), whose sum is σ = 4445121240. Its totient is φ = 950776320.

The previous prime is 2072556511. The next prime is 2072556523. The reversal of 2072556512 is 2156552702.

It is a super-2 number, since 2×2072556512² = 8590980990867212288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2072556511) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 966962 + ... + 969102.

It is an arithmetic number, because the mean of its divisors is an integer number (61737795).

Almost surely, 2^2072556512 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 2072556512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2222560620).

2072556512 is an abundant number, since it is smaller than the sum of its proper divisors (2372564728).

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

2072556512 is a wasteful number, since it uses less digits than its factorization.

2072556512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2356 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 35.

The square root of 2072556512 is about 45525.3392299278. The cubic root of 2072556512 is about 1274.9763444541.

The spelling of 2072556512 in words is "two billion, seventy-two million, five hundred fifty-six thousand, five hundred twelve".