2470126288896 has 800 divisors, whose sum is σ = 9019431052800. Its totient is φ = 652298158080.

The previous prime is 2470126288891. The next prime is 2470126288901. The reversal of 2470126288896 is 6988826210742.

2470126288896 is a `hidden beast` number, since 2 + 470 + 1 + 2 + 6 + 2 + 88 + 89 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2470126288891) and next prime (2470126288901).

It is a super-2 number, since 2×2470126288896² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2470126288891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60246982636 + ... + 60246982676.

It is an arithmetic number, because the mean of its divisors is an integer number (11274288816).

Almost surely, 2^{2470126288896} 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 2470126288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4509715526400).

2470126288896 is an abundant number, since it is smaller than the sum of its proper divisors (6549304763904).

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

2470126288896 is an frugal number, since it uses more digits than its factorization.

2470126288896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 2470126288896 in words is "two trillion, four hundred seventy billion, one hundred twenty-six million, two hundred eighty-eight thousand, eight hundred ninety-six".