2479753577550 has 192 divisors, whose sum is σ = 6416309687040. Its totient is φ = 633231406080.

The previous prime is 2479753577533. The next prime is 2479753577611. The reversal of 2479753577550 is 557753579742.

It is a super-2 number, since 2×2479753577550² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 867955722 + ... + 867958578.

It is an arithmetic number, because the mean of its divisors is an integer number (33418279620).

Almost surely, 2^{2479753577550} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2479753577550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3208154843520).

2479753577550 is an abundant number, since it is smaller than the sum of its proper divisors (3936556109490).

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

2479753577550 is a wasteful number, since it uses less digits than its factorization.

2479753577550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5507 (or 5502 counting only the distinct ones).

The product of its (nonzero) digits is 324135000, while the sum is 66.

The spelling of 2479753577550 in words is "two trillion, four hundred seventy-nine billion, seven hundred fifty-three million, five hundred seventy-seven thousand, five hundred fifty".