2332749038400 has 1008 divisors, whose sum is σ = 9300873366720. Its totient is φ = 549711052800.

The previous prime is 2332749038381. The next prime is 2332749038429. The reversal of 2332749038400 is 48309472332.

2332749038400 is a `hidden beast` number, since 233 + 2 + 7 + 4 + 9 + 0 + 3 + 8 + 400 = 666.

It is a super-2 number, since 2×2332749038400² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 948656371 + ... + 948658829.

Almost surely, 2^{2332749038400} is an apocalyptic number.

2332749038400 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 2332749038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4650436683360).

2332749038400 is an abundant number, since it is smaller than the sum of its proper divisors (6968124328320).

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

2332749038400 is a wasteful number, since it uses less digits than its factorization.

2332749038400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2664 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 2332749038400 in words is "two trillion, three hundred thirty-two billion, seven hundred forty-nine million, thirty-eight thousand, four hundred".