2600745984 has 264 divisors, whose sum is σ = 8008846560. Its totient is φ = 811302912.

The previous prime is 2600745971. The next prime is 2600745991. The reversal of 2600745984 is 4895470062.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9888637 + ... + 9888899.

It is an arithmetic number, because the mean of its divisors is an integer number (30336540).

Almost surely, 2^2600745984 is an apocalyptic number.

2600745984 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 2600745984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004423280).

2600745984 is an abundant number, since it is smaller than the sum of its proper divisors (5408100576).

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

2600745984 is a wasteful number, since it uses less digits than its factorization.

2600745984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2600745984 is about 50997.5095862533. The cubic root of 2600745984 is about 1375.2003646748.

The spelling of 2600745984 in words is "two billion, six hundred million, seven hundred forty-five thousand, nine hundred eighty-four".