2390628240 has 960 divisors, whose sum is σ = 11231281152. Its totient is φ = 439603200.

The previous prime is 2390628239. The next prime is 2390628277. The reversal of 2390628240 is 428260932.

2390628240 is a `hidden beast` number, since 2 + 3 + 9 + 0 + 628 + 24 + 0 = 666.

2390628240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 2390628195 and 2390628204.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22342267 + ... + 22342373.

Almost surely, 2^2390628240 is an apocalyptic number.

2390628240 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 2390628240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615640576).

2390628240 is an abundant number, since it is smaller than the sum of its proper divisors (8840652912).

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

2390628240 is a wasteful number, since it uses less digits than its factorization.

2390628240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2390628240 is about 48894.0511718962. The cubic root of 2390628240 is about 1337.1209143733.

The spelling of 2390628240 in words is "two billion, three hundred ninety million, six hundred twenty-eight thousand, two hundred forty".