2365378560 has 312 divisors, whose sum is σ = 8425786824. Its totient is φ = 613416960.

The previous prime is 2365378559. The next prime is 2365378583. The reversal of 2365378560 is 658735632.

2365378560 is a `hidden beast` number, since 2 + 36 + 53 + 7 + 8 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 224280576 + 2141097984 = 14976^2 + 46272^2 .

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 23 ways as a sum of consecutive naturals, for example, 7556964 + ... + 7557276.

It is an arithmetic number, because the mean of its divisors is an integer number (27005727).

Almost surely, 2^2365378560 is an apocalyptic number.

2365378560 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 2365378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4212893412).

2365378560 is an abundant number, since it is smaller than the sum of its proper divisors (6060408264).

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

2365378560 is a wasteful number, since it uses less digits than its factorization.

2365378560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 2365378560 is about 48635.1576536974. The cubic root of 2365378560 is about 1332.3967110970.

The spelling of 2365378560 in words is "two billion, three hundred sixty-five million, three hundred seventy-eight thousand, five hundred sixty".