1972900840 has 16 divisors (see below), whose sum is σ = 4439026980. Its totient is φ = 789160320.

The previous prime is 1972900819. The next prime is 1972900843. The reversal of 1972900840 is 480092791.

It can be written as a sum of positive squares in 2 ways, for example, as 1922120964 + 50779876 = 43842^2 + 7126^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 49322521 = 1972900840 / (1 + 9 + 7 + 2 + 9 + 0 + 0 + 8 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1972900793 and 1972900802.

It is not an unprimeable number, because it can be changed into a prime (1972900843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24661221 + ... + 24661300.

Almost surely, 2^1972900840 is an apocalyptic number.

1972900840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972900840 is an abundant number, since it is smaller than the sum of its proper divisors (2466126140).

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

1972900840 is a wasteful number, since it uses less digits than its factorization.

1972900840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49322532 (or 49322528 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The square root of 1972900840 is about 44417.3484125291. The cubic root of 1972900840 is about 1254.2046864974.

The spelling of 1972900840 in words is "one billion, nine hundred seventy-two million, nine hundred thousand, eight hundred forty".