2640456000 has 1008 divisors, whose sum is σ = 12065983488. Its totient is φ = 539136000.

The previous prime is 2640455933. The next prime is 2640456017. The reversal of 2640456000 is 6540462.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85175985 + ... + 85176015.

Almost surely, 2^2640456000 is an apocalyptic number.

2640456000 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 2640456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6032991744).

2640456000 is an abundant number, since it is smaller than the sum of its proper divisors (9425527488).

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

2640456000 is a wasteful number, since it uses less digits than its factorization.

2640456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2640456000 is about 51385.3675670419. The cubic root of 2640456000 is about 1382.1642159916.

Adding to 2640456000 its reverse (6540462), we get a palindrome (2646996462).

The spelling of 2640456000 in words is "two billion, six hundred forty million, four hundred fifty-six thousand".