2546276466760 has 256 divisors, whose sum is σ = 6376451880960. Its totient is φ = 909302906880.

The previous prime is 2546276466757. The next prime is 2546276466827. The reversal of 2546276466760 is 676646726452.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 587103312 + ... + 587107648.

It is an arithmetic number, because the mean of its divisors is an integer number (24908015160).

Almost surely, 2^{2546276466760} is an apocalyptic number.

2546276466760 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 2546276466760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3188225940480).

2546276466760 is an abundant number, since it is smaller than the sum of its proper divisors (3830175414200).

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

2546276466760 is a wasteful number, since it uses less digits than its factorization.

2546276466760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 61.

The spelling of 2546276466760 in words is "two trillion, five hundred forty-six billion, two hundred seventy-six million, four hundred sixty-six thousand, seven hundred sixty".