2350988640 has 864 divisors, whose sum is σ = 11011212576. Its totient is φ = 449003520.

The previous prime is 2350988569. The next prime is 2350988657. The reversal of 2350988640 is 468890532.

2350988640 is a `hidden beast` number, since 2 + 3 + 509 + 88 + 64 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 10089964 + ... + 10090196.

It is an arithmetic number, because the mean of its divisors is an integer number (12744459).

Almost surely, 2^2350988640 is an apocalyptic number.

2350988640 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 2350988640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5505606288).

2350988640 is an abundant number, since it is smaller than the sum of its proper divisors (8660223936).

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

2350988640 is a wasteful number, since it uses less digits than its factorization.

2350988640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2350988640 is about 48486.9945449293. The cubic root of 2350988640 is about 1329.6893087755.

The spelling of 2350988640 in words is "two billion, three hundred fifty million, nine hundred eighty-eight thousand, six hundred forty".