2523403878624 has 240 divisors, whose sum is σ = 8049465014976. Its totient is φ = 772346880000.

The previous prime is 2523403878617. The next prime is 2523403878631. The reversal of 2523403878624 is 4268783043252.

2523403878624 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 4 + 0 + 3 + 8 + 7 + 8 + 624 = 666.

It is an interprime number because it is at equal distance from previous prime (2523403878617) and next prime (2523403878631).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1108249 + ... + 2504999.

Almost surely, 2^{2523403878624} is an apocalyptic number.

2523403878624 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 2523403878624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024732507488).

2523403878624 is an abundant number, since it is smaller than the sum of its proper divisors (5526061136352).

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

2523403878624 is a wasteful number, since it uses less digits than its factorization.

2523403878624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1396831 (or 1396814 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 2523403878624 in words is "two trillion, five hundred twenty-three billion, four hundred three million, eight hundred seventy-eight thousand, six hundred twenty-four".