1971786880 has 64 divisors (see below), whose sum is σ = 5387215680. Its totient is φ = 676039680.

The previous prime is 1971786877. The next prime is 1971786889. The reversal of 1971786880 is 886871791.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1971786889) 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, 215586 + ... + 224545.

It is an arithmetic number, because the mean of its divisors is an integer number (84175245).

Almost surely, 2^1971786880 is an apocalyptic number.

1971786880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1971786880 is an abundant number, since it is smaller than the sum of its proper divisors (3415428800).

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

1971786880 is an equidigital number, since it uses as much as digits as its factorization.

1971786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440157 (or 440145 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 55.

The square root of 1971786880 is about 44404.8069469962. The cubic root of 1971786880 is about 1253.9685879800.

The spelling of 1971786880 in words is "one billion, nine hundred seventy-one million, seven hundred eighty-six thousand, eight hundred eighty".