1874972880 has 640 divisors, whose sum is σ = 7610941440. Its totient is φ = 419696640.

The previous prime is 1874972861. The next prime is 1874972893. The reversal of 1874972880 is 882794781.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25684524 + ... + 25684596.

It is an arithmetic number, because the mean of its divisors is an integer number (11892096).

Almost surely, 2^1874972880 is an apocalyptic number.

1874972880 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 1874972880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3805470720).

1874972880 is an abundant number, since it is smaller than the sum of its proper divisors (5735968560).

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

1874972880 is a wasteful number, since it uses less digits than its factorization.

1874972880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 1874972880 is about 43300.9570333035. The cubic root of 1874972880 is about 1233.1000919213.

The spelling of 1874972880 in words is "one billion, eight hundred seventy-four million, nine hundred seventy-two thousand, eight hundred eighty".