1840725120 has 256 divisors, whose sum is σ = 6539097600. Its totient is φ = 437305344.

The previous prime is 1840725097. The next prime is 1840725157. The reversal of 1840725120 is 215270481.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 722569 + ... + 725111.

It is an arithmetic number, because the mean of its divisors is an integer number (25543350).

Almost surely, 2^1840725120 is an apocalyptic number.

1840725120 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 1840725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269548800).

1840725120 is an abundant number, since it is smaller than the sum of its proper divisors (4698372480).

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

1840725120 is a wasteful number, since it uses less digits than its factorization.

1840725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2595 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 1840725120 is about 42903.6725700726. The cubic root of 1840725120 is about 1225.5460833378.

The spelling of 1840725120 in words is "one billion, eight hundred forty million, seven hundred twenty-five thousand, one hundred twenty".