2456842406700 has 432 divisors, whose sum is σ = 7909668748800. Its totient is φ = 588294220800.

The previous prime is 2456842406693. The next prime is 2456842406719. The reversal of 2456842406700 is 76042486542.

It is a super-2 number, since 2×2456842406700² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2456842406700.

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, 2239600552 + ... + 2239601648.

It is an arithmetic number, because the mean of its divisors is an integer number (18309418400).

Almost surely, 2^{2456842406700} is an apocalyptic number.

2456842406700 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 2456842406700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3954834374400).

2456842406700 is an abundant number, since it is smaller than the sum of its proper divisors (5452826342100).

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

2456842406700 is a wasteful number, since it uses less digits than its factorization.

2456842406700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 48.

The spelling of 2456842406700 in words is "two trillion, four hundred fifty-six billion, eight hundred forty-two million, four hundred six thousand, seven hundred".