2451225546264 has 256 divisors, whose sum is σ = 7158760819200. Its totient is φ = 691628544000.

The previous prime is 2451225546257. The next prime is 2451225546313. The reversal of 2451225546264 is 4626455221542.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69388734 + ... + 69424050.

It is an arithmetic number, because the mean of its divisors is an integer number (27963909450).

Almost surely, 2^{2451225546264} is an apocalyptic number.

2451225546264 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 2451225546264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579380409600).

2451225546264 is an abundant number, since it is smaller than the sum of its proper divisors (4707535272936).

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

2451225546264 is a wasteful number, since it uses less digits than its factorization.

2451225546264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35594 (or 35590 counting only the distinct ones).

The product of its digits is 4608000, while the sum is 48.

The spelling of 2451225546264 in words is "two trillion, four hundred fifty-one billion, two hundred twenty-five million, five hundred forty-six thousand, two hundred sixty-four".