2400993073152 has 240 divisors, whose sum is σ = 7593452947080. Its totient is φ = 753251844096.

The previous prime is 2400993073069. The next prime is 2400993073187. The reversal of 2400993073152 is 2513703990042.

2400993073152 is a `hidden beast` number, since 2 + 400 + 9 + 93 + 0 + 7 + 3 + 152 = 666.

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 junction number, because it is equal to n+sod(n) for n = 2400993073098 and 2400993073107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2394403 + ... + 3245789.

Almost surely, 2^{2400993073152} 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 2400993073152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3796726473540).

2400993073152 is an abundant number, since it is smaller than the sum of its proper divisors (5192459873928).

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

2400993073152 is an equidigital number, since it uses as much as digits as its factorization.

2400993073152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851438 (or 851409 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 2400993073152 in words is "two trillion, four hundred billion, nine hundred ninety-three million, seventy-three thousand, one hundred fifty-two".