2523822516 has 192 divisors, whose sum is σ = 7402752000. Its totient is φ = 738823680.

The previous prime is 2523822491. The next prime is 2523822523. The reversal of 2523822516 is 6152283252.

It is a happy number.

2523822516 is a `hidden beast` number, since 2 + 523 + 82 + 2 + 51 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2476255 + ... + 2477273.

It is an arithmetic number, because the mean of its divisors is an integer number (38556000).

Almost surely, 2^2523822516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2523822516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3701376000).

2523822516 is an abundant number, since it is smaller than the sum of its proper divisors (4878929484).

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

2523822516 is a wasteful number, since it uses less digits than its factorization.

2523822516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1131 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2523822516 is about 50237.6603356486. The cubic root of 2523822516 is about 1361.5061377781.

The spelling of 2523822516 in words is "two billion, five hundred twenty-three million, eight hundred twenty-two thousand, five hundred sixteen".