2390945040 has 280 divisors, whose sum is σ = 9094739328. Its totient is φ = 579467520.

The previous prime is 2390944999. The next prime is 2390945057. The reversal of 2390945040 is 405490932.

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 = 2390944986 and 2390945004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 639657 + ... + 643383.

Almost surely, 2^2390945040 is an apocalyptic number.

2390945040 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 2390945040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547369664).

2390945040 is an abundant number, since it is smaller than the sum of its proper divisors (6703794288).

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

2390945040 is a wasteful number, since it uses less digits than its factorization.

2390945040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3769 (or 3748 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2390945040 is about 48897.2907224930. The cubic root of 2390945040 is about 1337.1799757236.

The spelling of 2390945040 in words is "two billion, three hundred ninety million, nine hundred forty-five thousand, forty".