2517545482452 has 1152 divisors, whose sum is σ = 9385981516800. Its totient is φ = 566754693120.

The previous prime is 2517545482399. The next prime is 2517545482457. The reversal of 2517545482452 is 2542845457152.

2517545482452 is a `hidden beast` number, since 2 + 5 + 1 + 7 + 54 + 548 + 2 + 45 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2517545482457) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1275997738 + ... + 1275999710.

It is an arithmetic number, because the mean of its divisors is an integer number (8147553400).

Almost surely, 2^{2517545482452} is an apocalyptic number.

2517545482452 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 2517545482452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692990758400).

2517545482452 is an abundant number, since it is smaller than the sum of its proper divisors (6868436034348).

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

2517545482452 is a wasteful number, since it uses less digits than its factorization.

2517545482452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2094 (or 2075 counting only the distinct ones).

The product of its digits is 17920000, while the sum is 54.

The spelling of 2517545482452 in words is "two trillion, five hundred seventeen billion, five hundred forty-five million, four hundred eighty-two thousand, four hundred fifty-two".