2378168100 has 864 divisors, whose sum is σ = 10191347712. Its totient is φ = 466560000.

The previous prime is 2378168077. The next prime is 2378168123. The reversal of 2378168100 is 18618732.

It is an interprime number because it is at equal distance from previous prime (2378168077) and next prime (2378168123).

It is a super-2 number, since 2×2378168100² = 11311367023715220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 58004080 + ... + 58004120.

Almost surely, 2^2378168100 is an apocalyptic number.

2378168100 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 2378168100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5095673856).

2378168100 is an abundant number, since it is smaller than the sum of its proper divisors (7813179612).

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

2378168100 is a wasteful number, since it uses less digits than its factorization.

2378168100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 2378168100 is about 48766.4649118634. The cubic root of 2378168100 is about 1334.7938073166.

The spelling of 2378168100 in words is "two billion, three hundred seventy-eight million, one hundred sixty-eight thousand, one hundred".