2604440006400 has 108 divisors (see below), whose sum is σ = 8595194676152. Its totient is φ = 694517329920.

The previous prime is 2604440006393. The next prime is 2604440006401. The reversal of 2604440006400 is 46000444062.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2604440006401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67804759 + ... + 67843158.

Almost surely, 2^{2604440006400} is an apocalyptic number.

2604440006400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2604440006400 is an abundant number, since it is smaller than the sum of its proper divisors (5990754669752).

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

2604440006400 is a wasteful number, since it uses less digits than its factorization.

2604440006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135647946 (or 135647927 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The spelling of 2604440006400 in words is "two trillion, six hundred four billion, four hundred forty million, six thousand, four hundred".