2122079904 has 384 divisors, whose sum is σ = 7596288000. Its totient is φ = 562857984.

The previous prime is 2122079899. The next prime is 2122079917. The reversal of 2122079904 is 4099702212.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6779652 + ... + 6779964.

It is an arithmetic number, because the mean of its divisors is an integer number (19782000).

Almost surely, 2^2122079904 is an apocalyptic number.

2122079904 is a gapful number since it is divisible by the number (24) 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 2122079904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3798144000).

2122079904 is an abundant number, since it is smaller than the sum of its proper divisors (5474208096).

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

2122079904 is a wasteful number, since it uses less digits than its factorization.

2122079904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2122079904 is about 46066.0385099479. The cubic root of 2122079904 is about 1285.0516321161.

It can be divided in two parts, 212207 and 9904, that added together give a triangular number (222111 = T₆₆₆).

The spelling of 2122079904 in words is "two billion, one hundred twenty-two million, seventy-nine thousand, nine hundred four".