1972901520 has 60 divisors (see below), whose sum is σ = 6625663356. Its totient is φ = 526106880.

The previous prime is 1972901503. The next prime is 1972901543. The reversal of 1972901520 is 251092791.

It can be written as a sum of positive squares in 2 ways, for example, as 197796096 + 1775105424 = 14064^2 + 42132^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1369351 + ... + 1370790.

Almost surely, 2^1972901520 is an apocalyptic number.

1972901520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972901520 is an abundant number, since it is smaller than the sum of its proper divisors (4652761836).

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

1972901520 is a wasteful number, since it uses less digits than its factorization.

1972901520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2740160 (or 2740151 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 1972901520 is about 44417.3560671952. The cubic root of 1972901520 is about 1254.2048305930.

The spelling of 1972901520 in words is "one billion, nine hundred seventy-two million, nine hundred one thousand, five hundred twenty".