2365620480 has 432 divisors, whose sum is σ = 8671506480. Its totient is φ = 594542592.

The previous prime is 2365620473. The next prime is 2365620563. The reversal of 2365620480 is 840265632.

2365620480 is a `hidden beast` number, since 23 + 6 + 5 + 620 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 5992704 + 2359627776 = 2448^2 + 48576^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24387792 + ... + 24387888.

Almost surely, 2^2365620480 is an apocalyptic number.

2365620480 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 2365620480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335753240).

2365620480 is an abundant number, since it is smaller than the sum of its proper divisors (6305886000).

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

2365620480 is a wasteful number, since it uses less digits than its factorization.

2365620480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2365620480 is about 48637.6446798157. The cubic root of 2365620480 is about 1332.4421333435.

The spelling of 2365620480 in words is "two billion, three hundred sixty-five million, six hundred twenty thousand, four hundred eighty".