2566452576240 has 320 divisors, whose sum is σ = 10179989867520. Its totient is φ = 582139284480.

The previous prime is 2566452576229. The next prime is 2566452576257. The reversal of 2566452576240 is 426752546652.

2566452576240 is a `hidden beast` number, since 2 + 5 + 6 + 6 + 4 + 5 + 2 + 5 + 7 + 624 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1332862 + ... + 2628578.

It is an arithmetic number, because the mean of its divisors is an integer number (31812468336).

Almost surely, 2^{2566452576240} is an apocalyptic number.

2566452576240 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 2566452576240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5089994933760).

2566452576240 is an abundant number, since it is smaller than the sum of its proper divisors (7613537291280).

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

2566452576240 is a wasteful number, since it uses less digits than its factorization.

2566452576240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1295877 (or 1295865 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 54.

The spelling of 2566452576240 in words is "two trillion, five hundred sixty-six billion, four hundred fifty-two million, five hundred seventy-six thousand, two hundred forty".