2604215040 has 576 divisors, whose sum is σ = 10384174080. Its totient is φ = 542638080.

The previous prime is 2604215039. The next prime is 2604215041. The reversal of 2604215040 is 405124062.

It is an interprime number because it is at equal distance from previous prime (2604215039) and next prime (2604215041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2604215040.

It is not an unprimeable number, because it can be changed into a prime (2604215041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18735291 + ... + 18735429.

It is an arithmetic number, because the mean of its divisors is an integer number (18028080).

Almost surely, 2^2604215040 is an apocalyptic number.

2604215040 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 2604215040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5192087040).

2604215040 is an abundant number, since it is smaller than the sum of its proper divisors (7779959040).

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

2604215040 is a wasteful number, since it uses less digits than its factorization.

2604215040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2604215040 is about 51031.5102657172. The cubic root of 2604215040 is about 1375.8115389988.

The spelling of 2604215040 in words is "two billion, six hundred four million, two hundred fifteen thousand, forty".