2568535499040 has 768 divisors, whose sum is σ = 10024917073920. Its totient is φ = 539912355840.

The previous prime is 2568535499029. The next prime is 2568535499077. The reversal of 2568535499040 is 409945358652.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 376118346 + ... + 376125174.

It is an arithmetic number, because the mean of its divisors is an integer number (13053277440).

Almost surely, 2^{2568535499040} is an apocalyptic number.

2568535499040 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 2568535499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012458536960).

2568535499040 is an abundant number, since it is smaller than the sum of its proper divisors (7456381574880).

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

2568535499040 is a wasteful number, since it uses less digits than its factorization.

2568535499040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7065 (or 7057 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 60.

The spelling of 2568535499040 in words is "two trillion, five hundred sixty-eight billion, five hundred thirty-five million, four hundred ninety-nine thousand, forty".