2451268925952 has 1440 divisors, whose sum is σ = 9008237810880. Its totient is φ = 584963850240.

The previous prime is 2451268925947. The next prime is 2451268926013. The reversal of 2451268925952 is 2595298621542.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12700875168 + ... + 12700875360.

It is an arithmetic number, because the mean of its divisors is an integer number (6255720702).

Almost surely, 2^{2451268925952} is an apocalyptic number.

2451268925952 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 2451268925952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4504118905440).

2451268925952 is an abundant number, since it is smaller than the sum of its proper divisors (6556968884928).

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

2451268925952 is a wasteful number, since it uses less digits than its factorization.

2451268925952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 268 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 60.

The spelling of 2451268925952 in words is "two trillion, four hundred fifty-one billion, two hundred sixty-eight million, nine hundred twenty-five thousand, nine hundred fifty-two".