2406641257152 has 448 divisors, whose sum is σ = 7773807444480. Its totient is φ = 724059648000.

The previous prime is 2406641257117. The next prime is 2406641257169. The reversal of 2406641257152 is 2517521466042.

2406641257152 is a `hidden beast` number, since 2 + 4 + 0 + 6 + 64 + 12 + 571 + 5 + 2 = 666.

It is a super-2 number, since 2×2406641257152² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2406641257098 and 2406641257107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1849838902 + ... + 1849840202.

It is an arithmetic number, because the mean of its divisors is an integer number (17352248760).

Almost surely, 2^{2406641257152} is an apocalyptic number.

2406641257152 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 2406641257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3886903722240).

2406641257152 is an abundant number, since it is smaller than the sum of its proper divisors (5367166187328).

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

2406641257152 is a wasteful number, since it uses less digits than its factorization.

2406641257152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1957 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2406641257152 in words is "two trillion, four hundred six billion, six hundred forty-one million, two hundred fifty-seven thousand, one hundred fifty-two".