1930074880 has 144 divisors (see below), whose sum is σ = 4822401024. Its totient is φ = 739307520.

The previous prime is 1930074869. The next prime is 1930074899. The reversal of 1930074880 is 884700391.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5039169 + ... + 5039551.

It is an arithmetic number, because the mean of its divisors is an integer number (33488896).

Almost surely, 2^1930074880 is an apocalyptic number.

1930074880 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 1930074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2411200512).

1930074880 is an abundant number, since it is smaller than the sum of its proper divisors (2892326144).

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

1930074880 is a wasteful number, since it uses less digits than its factorization.

1930074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 1930074880 is about 43932.6174954327. The cubic root of 1930074880 is about 1245.0631688943.

The spelling of 1930074880 in words is "one billion, nine hundred thirty million, seventy-four thousand, eight hundred eighty".