2353890240 has 448 divisors, whose sum is σ = 9421977600. Its totient is φ = 548425728.

The previous prime is 2353890197. The next prime is 2353890251. The reversal of 2353890240 is 420983532.

2353890240 is a `hidden beast` number, since 2 + 35 + 389 + 0 + 240 = 666.

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 = 2353890195 and 2353890204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2133529 + ... + 2134631.

It is an arithmetic number, because the mean of its divisors is an integer number (21031200).

Almost surely, 2^2353890240 is an apocalyptic number.

2353890240 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 2353890240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4710988800).

2353890240 is an abundant number, since it is smaller than the sum of its proper divisors (7068087360).

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

2353890240 is a wasteful number, since it uses less digits than its factorization.

2353890240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2353890240 is about 48516.9067439382. The cubic root of 2353890240 is about 1330.2361199114.

The spelling of 2353890240 in words is "two billion, three hundred fifty-three million, eight hundred ninety thousand, two hundred forty".