2980890626688 has 768 divisors, whose sum is σ = 10184596531200. Its totient is φ = 860259004416.

The previous prime is 2980890626687. The next prime is 2980890626689. The reversal of 2980890626688 is 8866260980892.

It is an interprime number because it is at equal distance from previous prime (2980890626687) and next prime (2980890626689).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (2980890626687) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 791314981 + ... + 791318747.

It is an arithmetic number, because the mean of its divisors is an integer number (13261193400).

Almost surely, 2^{2980890626688} 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 2980890626688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5092298265600).

2980890626688 is an abundant number, since it is smaller than the sum of its proper divisors (7203705904512).

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

2980890626688 is a wasteful number, since it uses less digits than its factorization.

2980890626688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3907 counting only the distinct ones).

The product of its (nonzero) digits is 286654464, while the sum is 72.

The spelling of 2980890626688 in words is "two trillion, nine hundred eighty billion, eight hundred ninety million, six hundred twenty-six thousand, six hundred eighty-eight".