2334978900 has 360 divisors, whose sum is σ = 8287969536. Its totient is φ = 566092800.

The previous prime is 2334978887. The next prime is 2334978907. The reversal of 2334978900 is 98794332.

It is a happy number.

2334978900 is digitally balanced in base 2, because in such base 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2334978907) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4268427 + ... + 4268973.

Almost surely, 2^2334978900 is an apocalyptic number.

2334978900 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 2334978900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4143984768).

2334978900 is an abundant number, since it is smaller than the sum of its proper divisors (5952990636).

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

2334978900 is a wasteful number, since it uses less digits than its factorization.

2334978900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2334978900 is about 48321.6193851158. The cubic root of 2334978900 is about 1326.6641295486.

The spelling of 2334978900 in words is "two billion, three hundred thirty-four million, nine hundred seventy-eight thousand, nine hundred".