2489975744256 has 1296 divisors, whose sum is σ = 9877601056960. Its totient is φ = 586845388800.

The previous prime is 2489975744237. The next prime is 2489975744309. The reversal of 2489975744256 is 6524475799842.

2489975744256 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 9 + 7 + 574 + 42 + 5 + 6 = 666.

It is a super-2 number, since 2×2489975744256² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1547529180 + ... + 1547530788.

Almost surely, 2^{2489975744256} is an apocalyptic number.

2489975744256 is a gapful number since it is divisible by the number (26) 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 2489975744256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4938800528480).

2489975744256 is an abundant number, since it is smaller than the sum of its proper divisors (7387625312704).

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

2489975744256 is a wasteful number, since it uses less digits than its factorization.

2489975744256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1734 (or 1706 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 2489975744256 in words is "two trillion, four hundred eighty-nine billion, nine hundred seventy-five million, seven hundred forty-four thousand, two hundred fifty-six".