1904540580 has 96 divisors (see below), whose sum is σ = 6051386880. Its totient is φ = 497064960.

The previous prime is 1904540579. The next prime is 1904540629. The reversal of 1904540580 is 850454091.

1904540580 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 12141 + ... + 62900.

It is an arithmetic number, because the mean of its divisors is an integer number (63035280).

Almost surely, 2^1904540580 is an apocalyptic number.

1904540580 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 1904540580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3025693440).

1904540580 is an abundant number, since it is smaller than the sum of its proper divisors (4146846300).

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

1904540580 is a wasteful number, since it uses less digits than its factorization.

1904540580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75106 (or 75098 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1904540580 is about 43641.0423798516. The cubic root of 1904540580 is about 1239.5481747895.

The spelling of 1904540580 in words is "one billion, nine hundred four million, five hundred forty thousand, five hundred eighty".