2532509950464 has 480 divisors, whose sum is σ = 8227693393920. Its totient is φ = 773035425792.

The previous prime is 2532509950427. The next prime is 2532509950507. The reversal of 2532509950464 is 4640599052352.

2532509950464 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 509 + 95 + 0 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2532509950464.

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, 205404652 + ... + 205416980.

It is an arithmetic number, because the mean of its divisors is an integer number (17141027904).

Almost surely, 2^{2532509950464} is an apocalyptic number.

2532509950464 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 2532509950464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4113846696960).

2532509950464 is an abundant number, since it is smaller than the sum of its proper divisors (5695183443456).

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

2532509950464 is a wasteful number, since it uses less digits than its factorization.

2532509950464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12502 (or 12474 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 2532509950464 in words is "two trillion, five hundred thirty-two billion, five hundred nine million, nine hundred fifty thousand, four hundred sixty-four".