2698900807680 has 3024 divisors, whose sum is σ = 12880233864576. Its totient is φ = 516591452160.

The previous prime is 2698900807661. The next prime is 2698900807781. The reversal of 2698900807680 is 867080098962.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 57423421417 + ... + 57423421463.

Almost surely, 2^{2698900807680} is an apocalyptic number.

2698900807680 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 2698900807680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6440116932288).

2698900807680 is an abundant number, since it is smaller than the sum of its proper divisors (10181333056896).

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

2698900807680 is a wasteful number, since it uses less digits than its factorization.

2698900807680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 2698900807680 in words is "two trillion, six hundred ninety-eight billion, nine hundred million, eight hundred seven thousand, six hundred eighty".