2802604464 has 240 divisors, whose sum is σ = 9141200640. Its totient is φ = 793013760.

The previous prime is 2802604447. The next prime is 2802604471. The reversal of 2802604464 is 4644062082.

It is a happy number.

2802604464 is a `hidden beast` number, since 2 + 8 + 0 + 2 + 604 + 46 + 4 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1565682 + ... + 1567470.

It is an arithmetic number, because the mean of its divisors is an integer number (38088336).

Almost surely, 2^2802604464 is an apocalyptic number.

2802604464 is a gapful number since it is divisible by the number (24) 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 2802604464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4570600320).

2802604464 is an abundant number, since it is smaller than the sum of its proper divisors (6338596176).

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

2802604464 is a wasteful number, since it uses less digits than its factorization.

2802604464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1880 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 2802604464 is about 52939.6303727179. The cubic root of 2802604464 is about 1409.8966213629.

The spelling of 2802604464 in words is "two billion, eight hundred two million, six hundred four thousand, four hundred sixty-four".