2904599040 has 320 divisors, whose sum is σ = 10740812544. Its totient is φ = 655884288.

The previous prime is 2904599029. The next prime is 2904599053. The reversal of 2904599040 is 409954092.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2904598983 and 2904599001.

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, 5214442 + ... + 5214998.

Almost surely, 2^2904599040 is an apocalyptic number.

2904599040 is a gapful number since it is divisible by the number (20) 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 2904599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370406272).

2904599040 is an abundant number, since it is smaller than the sum of its proper divisors (7836213504).

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

2904599040 is an equidigital number, since it uses as much as digits as its factorization.

2904599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 2904599040 is about 53894.3321695334. The cubic root of 2904599040 is about 1426.7965914614.

The spelling of 2904599040 in words is "two billion, nine hundred four million, five hundred ninety-nine thousand, forty".