2391780960 has 288 divisors, whose sum is σ = 8532905472. Its totient is φ = 632655360.

The previous prime is 2391780953. The next prime is 2391781019. The reversal of 2391780960 is 690871932.

2391780960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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, 8825625 + ... + 8825895.

It is an arithmetic number, because the mean of its divisors is an integer number (29628144).

Almost surely, 2^2391780960 is an apocalyptic number.

2391780960 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 2391780960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4266452736).

2391780960 is an abundant number, since it is smaller than the sum of its proper divisors (6141124512).

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

2391780960 is a wasteful number, since it uses less digits than its factorization.

2391780960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2391780960 is about 48905.8376883578. The cubic root of 2391780960 is about 1337.3357921096.

The spelling of 2391780960 in words is "two billion, three hundred ninety-one million, seven hundred eighty thousand, nine hundred sixty".