2072945700 has 216 divisors, whose sum is σ = 7457731008. Its totient is φ = 471778560.

The previous prime is 2072945653. The next prime is 2072945713. The reversal of 2072945700 is 75492702.

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 71 ways as a sum of consecutive naturals, for example, 1845339 + ... + 1846461.

Almost surely, 2^2072945700 is an apocalyptic number.

2072945700 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 2072945700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728865504).

2072945700 is an abundant number, since it is smaller than the sum of its proper divisors (5384785308).

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

2072945700 is a wasteful number, since it uses less digits than its factorization.

2072945700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 2072945700 is about 45529.6134400458. The cubic root of 2072945700 is about 1275.0561451631.

The spelling of 2072945700 in words is "two billion, seventy-two million, nine hundred forty-five thousand, seven hundred".