2379029400 has 384 divisors, whose sum is σ = 9040492800. Its totient is φ = 574992000.

The previous prime is 2379029381. The next prime is 2379029417. The reversal of 2379029400 is 49209732.

2379029400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 7187235 + ... + 7187565.

It is an arithmetic number, because the mean of its divisors is an integer number (23542950).

Almost surely, 2^2379029400 is an apocalyptic number.

2379029400 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 2379029400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520246400).

2379029400 is an abundant number, since it is smaller than the sum of its proper divisors (6661463400).

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

2379029400 is a wasteful number, since it uses less digits than its factorization.

2379029400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 2379029400 is about 48775.2949760429. The cubic root of 2379029400 is about 1334.9549284114.

The spelling of 2379029400 in words is "two billion, three hundred seventy-nine million, twenty-nine thousand, four hundred".