2604640000 has 180 divisors, whose sum is σ = 6615332416. Its totient is φ = 1022976000.

The previous prime is 2604639997. The next prime is 2604640007. The reversal of 2604640000 is 464062.

2604640000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2604640007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11679889 + ... + 11680111.

Almost surely, 2^2604640000 is an apocalyptic number.

2604640000 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 2604640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307666208).

2604640000 is an abundant number, since it is smaller than the sum of its proper divisors (4010692416).

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

2604640000 is an frugal number, since it uses more digits than its factorization.

2604640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2604640000 is about 51035.6737978446. The cubic root of 2604640000 is about 1375.8863706420.

The spelling of 2604640000 in words is "two billion, six hundred four million, six hundred forty thousand".