2604956640 has 192 divisors, whose sum is σ = 9640415232. Its totient is φ = 582912000.

The previous prime is 2604956633. The next prime is 2604956659. The reversal of 2604956640 is 466594062.

2604956640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2604956592 and 2604956601.

It is a congruent number.

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, 49665 + ... + 87615.

It is an arithmetic number, because the mean of its divisors is an integer number (50210496).

Almost surely, 2^2604956640 is an apocalyptic number.

2604956640 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 2604956640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4820207616).

2604956640 is an abundant number, since it is smaller than the sum of its proper divisors (7035458592).

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

2604956640 is a wasteful number, since it uses less digits than its factorization.

2604956640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37993 (or 37985 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 2604956640 is about 51038.7758473888. The cubic root of 2604956640 is about 1375.9421228135.

The spelling of 2604956640 in words is "two billion, six hundred four million, nine hundred fifty-six thousand, six hundred forty".