2378965680 has 960 divisors, whose sum is σ = 10892160000. Its totient is φ = 475517952.

The previous prime is 2378965627. The next prime is 2378965697. The reversal of 2378965680 is 865698732.

It is a happy number.

2378965680 is a `hidden beast` number, since 2 + 3 + 78 + 9 + 6 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 191 ways as a sum of consecutive naturals, for example, 125208711 + ... + 125208729.

It is an arithmetic number, because the mean of its divisors is an integer number (11346000).

Almost surely, 2^2378965680 is an apocalyptic number.

2378965680 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 2378965680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5446080000).

2378965680 is an abundant number, since it is smaller than the sum of its proper divisors (8513194320).

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

2378965680 is a wasteful number, since it uses less digits than its factorization.

2378965680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 2378965680 is about 48774.6417721340. The cubic root of 2378965680 is about 1334.9430098131.

The spelling of 2378965680 in words is "two billion, three hundred seventy-eight million, nine hundred sixty-five thousand, six hundred eighty".