2361152640 has 256 divisors, whose sum is σ = 9383869440. Its totient is φ = 490598400.

The previous prime is 2361152623. The next prime is 2361152671. The reversal of 2361152640 is 462511632.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2361152598 and 2361152607.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139855 + ... + 155825.

It is an arithmetic number, because the mean of its divisors is an integer number (36655740).

Almost surely, 2^2361152640 is an apocalyptic number.

2361152640 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 2361152640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4691934720).

2361152640 is an abundant number, since it is smaller than the sum of its proper divisors (7022716800).

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

2361152640 is a wasteful number, since it uses less digits than its factorization.

2361152640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16011 (or 15999 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2361152640 is about 48591.6931172397. The cubic root of 2361152640 is about 1331.6027637072.

The spelling of 2361152640 in words is "two billion, three hundred sixty-one million, one hundred fifty-two thousand, six hundred forty".