2279938129920 has 1632 divisors, whose sum is σ = 9480900199680. Its totient is φ = 519800094720.

The previous prime is 2279938129867. The next prime is 2279938129957. The reversal of 2279938129920 is 299218399722.

2279938129920 is a `hidden beast` number, since 227 + 9 + 9 + 381 + 2 + 9 + 9 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16641884092 + ... + 16641884228.

Almost surely, 2^{2279938129920} is an apocalyptic number.

2279938129920 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 2279938129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4740450099840).

2279938129920 is an abundant number, since it is smaller than the sum of its proper divisors (7200962069760).

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

2279938129920 is an equidigital number, since it uses as much as digits as its factorization.

2279938129920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 2279938129920 in words is "two trillion, two hundred seventy-nine billion, nine hundred thirty-eight million, one hundred twenty-nine thousand, nine hundred twenty".