2100379680 has 192 divisors, whose sum is σ = 8401639680. Its totient is φ = 480079872.

The previous prime is 2100379613. The next prime is 2100379691. The reversal of 2100379680 is 869730012.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4489 + ... + 64968.

It is an arithmetic number, because the mean of its divisors is an integer number (43758540).

Almost surely, 2^2100379680 is an apocalyptic number.

2100379680 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 2100379680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4200819840).

2100379680 is an abundant number, since it is smaller than the sum of its proper divisors (6301260000).

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

2100379680 is a wasteful number, since it uses less digits than its factorization.

2100379680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69488 (or 69474 counting only the distinct ones).

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

The square root of 2100379680 is about 45829.8994107559. The cubic root of 2100379680 is about 1280.6563365745.

The spelling of 2100379680 in words is "two billion, one hundred million, three hundred seventy-nine thousand, six hundred eighty".