2114358400 has 192 divisors, whose sum is σ = 6512708160. Its totient is φ = 658944000.

The previous prime is 2114358359. The next prime is 2114358469. The reversal of 2114358400 is 48534112.

It is a super-2 number, since 2×2114358400² = 8941022887301120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 242110 + ... + 250690.

It is an arithmetic number, because the mean of its divisors is an integer number (33920355).

Almost surely, 2^2114358400 is an apocalyptic number.

2114358400 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 2114358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256354080).

2114358400 is an abundant number, since it is smaller than the sum of its proper divisors (4398349760).

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

2114358400 is a wasteful number, since it uses less digits than its factorization.

2114358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8623 (or 8606 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2114358400 is about 45982.1530596383. The cubic root of 2114358400 is about 1283.4911205702.

The spelling of 2114358400 in words is "two billion, one hundred fourteen million, three hundred fifty-eight thousand, four hundred".