2524953488640 has 288 divisors, whose sum is σ = 8800863031296. Its totient is φ = 611852820480.

The previous prime is 2524953488599. The next prime is 2524953488653. The reversal of 2524953488640 is 468843594252.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112473897 + ... + 112496343.

It is an arithmetic number, because the mean of its divisors is an integer number (30558552192).

Almost surely, 2^{2524953488640} is an apocalyptic number.

2524953488640 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 2524953488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4400431515648).

2524953488640 is an abundant number, since it is smaller than the sum of its proper divisors (6275909542656).

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

2524953488640 is a wasteful number, since it uses less digits than its factorization.

2524953488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25145 (or 25131 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 60.

The spelling of 2524953488640 in words is "two trillion, five hundred twenty-four billion, nine hundred fifty-three million, four hundred eighty-eight thousand, six hundred forty".