2354956032 has 288 divisors, whose sum is σ = 7557371136. Its totient is φ = 641433600.

The previous prime is 2354956003. The next prime is 2354956033. The reversal of 2354956032 is 2306594532.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2354956033) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4502523 + ... + 4503045.

It is an arithmetic number, because the mean of its divisors is an integer number (26240872).

Almost surely, 2^2354956032 is an apocalyptic number.

2354956032 is a gapful number since it is divisible by the number (22) 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 2354956032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3778685568).

2354956032 is an abundant number, since it is smaller than the sum of its proper divisors (5202415104).

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

2354956032 is a wasteful number, since it uses less digits than its factorization.

2354956032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 39.

The square root of 2354956032 is about 48527.8892184690. The cubic root of 2354956032 is about 1330.4368572650.

The spelling of 2354956032 in words is "two billion, three hundred fifty-four million, nine hundred fifty-six thousand, thirty-two".