2509171426944 has 1280 divisors, whose sum is σ = 9868987054080. Its totient is φ = 614013861888.

The previous prime is 2509171426933. The next prime is 2509171426981. The reversal of 2509171426944 is 4496241719052.

2509171426944 is a `hidden beast` number, since 2 + 5 + 0 + 9 + 171 + 426 + 9 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1170867537 + ... + 1170869679.

It is an arithmetic number, because the mean of its divisors is an integer number (7710146136).

Almost surely, 2^{2509171426944} is an apocalyptic number.

2509171426944 is a gapful number since it is divisible by the number (24) 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 2509171426944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4934493527040).

2509171426944 is an abundant number, since it is smaller than the sum of its proper divisors (7359815627136).

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

2509171426944 is a wasteful number, since it uses less digits than its factorization.

2509171426944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2279 (or 2258 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 2509171426944 in words is "two trillion, five hundred nine billion, one hundred seventy-one million, four hundred twenty-six thousand, nine hundred forty-four".