2529982970880 has 176 divisors, whose sum is σ = 8094030581760. Its totient is φ = 674492203008.

The previous prime is 2529982970839. The next prime is 2529982970887. The reversal of 2529982970880 is 880792899252.

It is a Smith number, since the sum of its digits (69) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2529982970887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68287401 + ... + 68324439.

Almost surely, 2^{2529982970880} is an apocalyptic number.

2529982970880 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 2529982970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4047015290880).

2529982970880 is an abundant number, since it is smaller than the sum of its proper divisors (5564047610880).

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

2529982970880 is a wasteful number, since it uses less digits than its factorization.

2529982970880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41514 (or 41496 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 69.

The spelling of 2529982970880 in words is "two trillion, five hundred twenty-nine billion, nine hundred eighty-two million, nine hundred seventy thousand, eight hundred eighty".