2355920640 has 360 divisors, whose sum is σ = 8713719168. Its totient is φ = 607150080.

The previous prime is 2355920629. The next prime is 2355920641. The reversal of 2355920640 is 460295532.

2355920640 is a `hidden beast` number, since 2 + 3 + 5 + 5 + 9 + 2 + 0 + 640 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 2355920595 and 2355920604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2355920641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3213714 + ... + 3214446.

Almost surely, 2^2355920640 is an apocalyptic number.

2355920640 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 2355920640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356859584).

2355920640 is an abundant number, since it is smaller than the sum of its proper divisors (6357798528).

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

2355920640 is an equidigital number, since it uses as much as digits as its factorization.

2355920640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2355920640 is about 48537.8268982038. The cubic root of 2355920640 is about 1330.6184848389.

The spelling of 2355920640 in words is "two billion, three hundred fifty-five million, nine hundred twenty thousand, six hundred forty".