2378408760 has 384 divisors, whose sum is σ = 9644544000. Its totient is φ = 494926848.

The previous prime is 2378408743. The next prime is 2378408789. The reversal of 2378408760 is 678048732.

It is a happy number.

2378408760 is a `hidden beast` number, since 237 + 8 + 408 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2587581 + ... + 2588499.

It is an arithmetic number, because the mean of its divisors is an integer number (25116000).

Almost surely, 2^2378408760 is an apocalyptic number.

2378408760 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 2378408760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4822272000).

2378408760 is an abundant number, since it is smaller than the sum of its proper divisors (7266135240).

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

2378408760 is a wasteful number, since it uses less digits than its factorization.

2378408760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2378408760 is about 48768.9323237653. The cubic root of 2378408760 is about 1334.8388308570.

The spelling of 2378408760 in words is "two billion, three hundred seventy-eight million, four hundred eight thousand, seven hundred sixty".