2513247948288 has 1600 divisors, whose sum is σ = 9753704294400. Its totient is φ = 625384488960.

The previous prime is 2513247948271. The next prime is 2513247948293. The reversal of 2513247948288 is 8828497423152.

2513247948288 is a `hidden beast` number, since 2 + 5 + 1 + 3 + 2 + 4 + 79 + 482 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10515681673 + ... + 10515681911.

It is an arithmetic number, because the mean of its divisors is an integer number (6096065184).

Almost surely, 2^{2513247948288} is an apocalyptic number.

2513247948288 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 2513247948288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4876852147200).

2513247948288 is an abundant number, since it is smaller than the sum of its proper divisors (7240456346112).

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

2513247948288 is a wasteful number, since it uses less digits than its factorization.

2513247948288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 388 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 2513247948288 in words is "two trillion, five hundred thirteen billion, two hundred forty-seven million, nine hundred forty-eight thousand, two hundred eighty-eight".