2378995200 has 360 divisors, whose sum is σ = 8637860088. Its totient is φ = 625213440.

The previous prime is 2378995189. The next prime is 2378995231. The reversal of 2378995200 is 25998732.

2378995200 is a `hidden beast` number, since 2 + 37 + 8 + 99 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12326304 + ... + 12326496.

Almost surely, 2^2378995200 is an apocalyptic number.

2378995200 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 2378995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318930044).

2378995200 is an abundant number, since it is smaller than the sum of its proper divisors (6258864888).

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

2378995200 is a wasteful number, since it uses less digits than its factorization.

2378995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2378995200 is about 48774.9443874619. The cubic root of 2378995200 is about 1334.9485314501.

It can be divided in two parts, 2378 and 995200, that added together give a triangular number (997578 = T₁₄₁₂).

The spelling of 2378995200 in words is "two billion, three hundred seventy-eight million, nine hundred ninety-five thousand, two hundred".