1972164880 has 40 divisors (see below), whose sum is σ = 5240325312. Its totient is φ = 676170624.

The previous prime is 1972164853. The next prime is 1972164889. The reversal of 1972164880 is 884612791.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1972164880.

It is not an unprimeable number, because it can be changed into a prime (1972164889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1760302 + ... + 1761421.

Almost surely, 2^1972164880 is an apocalyptic number.

1972164880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1972164880 is an abundant number, since it is smaller than the sum of its proper divisors (3268160432).

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

1972164880 is a wasteful number, since it uses less digits than its factorization.

1972164880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521743 (or 3521737 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 46.

The square root of 1972164880 is about 44409.0630389789. The cubic root of 1972164880 is about 1254.0487132453.

The spelling of 1972164880 in words is "one billion, nine hundred seventy-two million, one hundred sixty-four thousand, eight hundred eighty".