2502575709480 has 1152 divisors, whose sum is σ = 10856249913600. Its totient is φ = 501929809920.

The previous prime is 2502575709479. The next prime is 2502575709493. The reversal of 2502575709480 is 849075752052.

2502575709480 is a `hidden beast` number, since 2 + 5 + 0 + 25 + 7 + 570 + 9 + 48 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 769311534 + ... + 769314786.

It is an arithmetic number, because the mean of its divisors is an integer number (9423828050).

Almost surely, 2^{2502575709480} is an apocalyptic number.

2502575709480 is a gapful number since it is divisible by the number (20) 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 2502575709480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5428124956800).

2502575709480 is an abundant number, since it is smaller than the sum of its proper divisors (8353674204120).

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

2502575709480 is a wasteful number, since it uses less digits than its factorization.

2502575709480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3360 (or 3310 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 2502575709480 in words is "two trillion, five hundred two billion, five hundred seventy-five million, seven hundred nine thousand, four hundred eighty".