2511117490560 has 256 divisors, whose sum is σ = 9202426813440. Its totient is φ = 570532257792.

The previous prime is 2511117490559. The next prime is 2511117490573. The reversal of 2511117490560 is 650947111152.

It is a super-2 number, since 2×2511117490560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1685082 + ... + 2803878.

It is an arithmetic number, because the mean of its divisors is an integer number (35946979740).

Almost surely, 2^{2511117490560} is an apocalyptic number.

2511117490560 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 2511117490560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4601213406720).

2511117490560 is an abundant number, since it is smaller than the sum of its proper divisors (6691309322880).

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

2511117490560 is a wasteful number, since it uses less digits than its factorization.

2511117490560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118993 (or 1118981 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 42.

The spelling of 2511117490560 in words is "two trillion, five hundred eleven billion, one hundred seventeen million, four hundred ninety thousand, five hundred sixty".