2528122602096 has 640 divisors, whose sum is σ = 9048865280000. Its totient is φ = 658024280064.

The previous prime is 2528122602013. The next prime is 2528122602107. The reversal of 2528122602096 is 6902062218252.

It is a happy number.

2528122602096 is a `hidden beast` number, since 2 + 5 + 28 + 12 + 2 + 602 + 0 + 9 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1413147570 + ... + 1413149358.

It is an arithmetic number, because the mean of its divisors is an integer number (14138852000).

Almost surely, 2^{2528122602096} is an apocalyptic number.

2528122602096 is a gapful number since it is divisible by the number (26) 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 2528122602096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4524432640000).

2528122602096 is an abundant number, since it is smaller than the sum of its proper divisors (6520742677904).

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

2528122602096 is a wasteful number, since it uses less digits than its factorization.

2528122602096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2278 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2528122602096 in words is "two trillion, five hundred twenty-eight billion, one hundred twenty-two million, six hundred two thousand, ninety-six".