1874960000 has 160 divisors (see below), whose sum is σ = 4875314400. Its totient is φ = 716672000.

The previous prime is 1874959993. The next prime is 1874960083. The reversal of 1874960000 is 694781.

It is a tau number, because it is divible by the number of its divisors (160).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1839491 + ... + 1840509.

It is an arithmetic number, because the mean of its divisors is an integer number (30470715).

Almost surely, 2^1874960000 is an apocalyptic number.

1874960000 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 1874960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437657200).

1874960000 is an abundant number, since it is smaller than the sum of its proper divisors (3000354400).

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

1874960000 is an equidigital number, since it uses as much as digits as its factorization.

1874960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 1874960000 is about 43300.8083065432. The cubic root of 1874960000 is about 1233.0972683488.

The spelling of 1874960000 in words is "one billion, eight hundred seventy-four million, nine hundred sixty thousand".