2604682080 has 864 divisors, whose sum is σ = 12086081280. Its totient is φ = 496005120.

The previous prime is 2604682063. The next prime is 2604682097. The reversal of 2604682080 is 802864062.

It is an interprime number because it is at equal distance from previous prime (2604682063) and next prime (2604682097).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18738651 + ... + 18738789.

It is an arithmetic number, because the mean of its divisors is an integer number (13988520).

Almost surely, 2^2604682080 is an apocalyptic number.

2604682080 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 2604682080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6043040640).

2604682080 is an abundant number, since it is smaller than the sum of its proper divisors (9481399200).

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

2604682080 is a wasteful number, since it uses less digits than its factorization.

2604682080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2604682080 is about 51036.0860568285. The cubic root of 2604682080 is about 1375.8937801096.

The spelling of 2604682080 in words is "two billion, six hundred four million, six hundred eighty-two thousand, eighty".