2353991640 has 256 divisors, whose sum is σ = 9482296320. Its totient is φ = 451491840.

The previous prime is 2353991623. The next prime is 2353991641. The reversal of 2353991640 is 461993532.

It is a happy number.

2353991640 is digitally balanced in base 2, because in such base 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 2353991592 and 2353991601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2353991641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 110322 + ... + 129918.

It is an arithmetic number, because the mean of its divisors is an integer number (37040220).

Almost surely, 2^2353991640 is an apocalyptic number.

2353991640 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 2353991640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4741148160).

2353991640 is an abundant number, since it is smaller than the sum of its proper divisors (7128304680).

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

2353991640 is a wasteful number, since it uses less digits than its factorization.

2353991640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19642 (or 19638 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 42.

The square root of 2353991640 is about 48517.9517292311. The cubic root of 2353991640 is about 1330.2552207745.

The spelling of 2353991640 in words is "two billion, three hundred fifty-three million, nine hundred ninety-one thousand, six hundred forty".