2114468400 has 240 divisors, whose sum is σ = 7571265408. Its totient is φ = 499968000.

The previous prime is 2114468399. The next prime is 2114468413. The reversal of 2114468400 is 48644112.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2114468400² = 8941953229197120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 539247 + ... + 543153.

Almost surely, 2^2114468400 is an apocalyptic number.

2114468400 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 2114468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3785632704).

2114468400 is an abundant number, since it is smaller than the sum of its proper divisors (5456797008).

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

2114468400 is a wasteful number, since it uses less digits than its factorization.

2114468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3980 (or 3969 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2114468400 is about 45983.3491603211. The cubic root of 2114468400 is about 1283.5133781615.

The spelling of 2114468400 in words is "two billion, one hundred fourteen million, four hundred sixty-eight thousand, four hundred".