2502724730688 has 1344 divisors, whose sum is σ = 9500579424000. Its totient is φ = 640099418112.

The previous prime is 2502724730567. The next prime is 2502724730689. The reversal of 2502724730688 is 8860374272052.

2502724730688 is a `hidden beast` number, since 2 + 502 + 7 + 2 + 4 + 73 + 0 + 68 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502724730689) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5779964520 + ... + 5779964952.

It is an arithmetic number, because the mean of its divisors is an integer number (7068883500).

Almost surely, 2^{2502724730688} is an apocalyptic number.

2502724730688 is a gapful number since it is divisible by the number (28) 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 2502724730688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750289712000).

2502724730688 is an abundant number, since it is smaller than the sum of its proper divisors (6997854693312).

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

2502724730688 is a wasteful number, since it uses less digits than its factorization.

2502724730688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 2502724730688 in words is "two trillion, five hundred two billion, seven hundred twenty-four million, seven hundred thirty thousand, six hundred eighty-eight".