2338980015680 has 224 divisors, whose sum is σ = 6997054344192. Its totient is φ = 723466598400.

The previous prime is 2338980015653. The next prime is 2338980015683. The reversal of 2338980015680 is 865100898332.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×2338980015680³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2338980015683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2865527 + ... + 3590153.

Almost surely, 2^{2338980015680} is an apocalyptic number.

2338980015680 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 2338980015680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498527172096).

2338980015680 is an abundant number, since it is smaller than the sum of its proper divisors (4658074328512).

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

2338980015680 is a wasteful number, since it uses less digits than its factorization.

2338980015680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724793 (or 724783 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 53.

The spelling of 2338980015680 in words is "two trillion, three hundred thirty-eight billion, nine hundred eighty million, fifteen thousand, six hundred eighty".