2349536990400 has 504 divisors, whose sum is σ = 8832202808000. Its totient is φ = 590739609600.

The previous prime is 2349536990399. The next prime is 2349536990459. The reversal of 2349536990400 is 40996359432.

2349536990400 is a `hidden beast` number, since 2 + 3 + 4 + 95 + 3 + 69 + 90 + 400 = 666.

It is a super-4 number, since 4×2349536990400⁴ (a number of 51 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57709251 + ... + 57749949.

Almost surely, 2^{2349536990400} is an apocalyptic number.

2349536990400 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 2349536990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416101404000).

2349536990400 is an abundant number, since it is smaller than the sum of its proper divisors (6482665817600).

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

2349536990400 is a wasteful number, since it uses less digits than its factorization.

2349536990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40957 (or 40939 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 54.

The spelling of 2349536990400 in words is "two trillion, three hundred forty-nine billion, five hundred thirty-six million, nine hundred ninety thousand, four hundred".