2600446464 has 480 divisors, whose sum is σ = 9796248000. Its totient is φ = 673505280.

The previous prime is 2600446441. The next prime is 2600446481. The reversal of 2600446464 is 4646440062.

It is a happy number.

2600446464 is a `hidden beast` number, since 2 + 6 + 0 + 0 + 4 + 4 + 646 + 4 = 666.

2600446464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7450962 + ... + 7451310.

It is an arithmetic number, because the mean of its divisors is an integer number (20408850).

Almost surely, 2^2600446464 is an apocalyptic number.

2600446464 is a gapful number since it is divisible by the number (24) 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 2600446464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898124000).

2600446464 is an abundant number, since it is smaller than the sum of its proper divisors (7195801536).

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

2600446464 is a wasteful number, since it uses less digits than its factorization.

2600446464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 2600446464 is about 50994.5728877103. The cubic root of 2600446464 is about 1375.1475701011.

The spelling of 2600446464 in words is "two billion, six hundred million, four hundred forty-six thousand, four hundred sixty-four".