2400328950336 has 168 divisors, whose sum is σ = 7286058584064. Its totient is φ = 752916541440.

The previous prime is 2400328950193. The next prime is 2400328950337. The reversal of 2400328950336 is 6330598230042.

2400328950336 is a `hidden beast` number, since 2 + 4 + 0 + 0 + 32 + 89 + 503 + 36 = 666.

It is a super-2 number, since 2×2400328950336² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2400328950291 and 2400328950300.

It is not an unprimeable number, because it can be changed into a prime (2400328950337) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 69535321 + ... + 69569831.

Almost surely, 2^{2400328950336} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2400328950336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643029292032).

2400328950336 is an abundant number, since it is smaller than the sum of its proper divisors (4885729633728).

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

2400328950336 is a wasteful number, since it uses less digits than its factorization.

2400328950336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41649 (or 41636 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 2400328950336 in words is "two trillion, four hundred billion, three hundred twenty-eight million, nine hundred fifty thousand, three hundred thirty-six".