2634982507520 has 352 divisors, whose sum is σ = 7003121725440. Its totient is φ = 943340912640.

The previous prime is 2634982507513. The next prime is 2634982507559. The reversal of 2634982507520 is 257052894362.

It is a tau number, because it is divible by the number of its divisors (352).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 979910336 + ... + 979913024.

Almost surely, 2^{2634982507520} is an apocalyptic number.

2634982507520 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 2634982507520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3501560862720).

2634982507520 is an abundant number, since it is smaller than the sum of its proper divisors (4368139217920).

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

2634982507520 is a wasteful number, since it uses less digits than its factorization.

2634982507520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2971 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 53.

The spelling of 2634982507520 in words is "two trillion, six hundred thirty-four billion, nine hundred eighty-two million, five hundred seven thousand, five hundred twenty".