2365478640 has 240 divisors, whose sum is σ = 9415730688. Its totient is φ = 540649728.

The previous prime is 2365478611. The next prime is 2365478693. The reversal of 2365478640 is 468745632.

2365478640 is a `hidden beast` number, since 23 + 6 + 547 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 127389 + ... + 144771.

Almost surely, 2^2365478640 is an apocalyptic number.

2365478640 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 2365478640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4707865344).

2365478640 is an abundant number, since it is smaller than the sum of its proper divisors (7050252048).

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

2365478640 is a wasteful number, since it uses less digits than its factorization.

2365478640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17418 (or 17400 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2365478640 is about 48636.1865281397. The cubic root of 2365478640 is about 1332.4155022234.

The spelling of 2365478640 in words is "two billion, three hundred sixty-five million, four hundred seventy-eight thousand, six hundred forty".