1900972800 has 540 divisors, whose sum is σ = 7437032680. Its totient is φ = 477757440.

The previous prime is 1900972751. The next prime is 1900972817. The reversal of 1900972800 is 82790091.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×1900972800² = 7227395172679680000, which contains 22 as substring.

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 59 ways as a sum of consecutive naturals, for example, 9849504 + ... + 9849696.

Almost surely, 2^1900972800 is an apocalyptic number.

1900972800 is a gapful number since it is divisible by the number (10) 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 1900972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3718516340).

1900972800 is an abundant number, since it is smaller than the sum of its proper divisors (5536059880).

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

1900972800 is a wasteful number, since it uses less digits than its factorization.

1900972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 1900972800 is about 43600.1467887437. The cubic root of 1900972800 is about 1238.7736748689.

It can be divided in two parts, 19009 and 72800, that added together give a square (91809 = 303²).

The spelling of 1900972800 in words is "one billion, nine hundred million, nine hundred seventy-two thousand, eight hundred".