2546932942840 has 256 divisors, whose sum is σ = 6838242808320. Its totient is φ = 841500887040.

The previous prime is 2546932942819. The next prime is 2546932942849. The reversal of 2546932942840 is 482492396452.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2546932942849) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 949284139 + ... + 949286821.

It is an arithmetic number, because the mean of its divisors is an integer number (26711885970).

Almost surely, 2^{2546932942840} is an apocalyptic number.

2546932942840 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 2546932942840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3419121404160).

2546932942840 is an abundant number, since it is smaller than the sum of its proper divisors (4291309865480).

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

2546932942840 is a wasteful number, since it uses less digits than its factorization.

2546932942840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262 (or 5258 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 58.

The spelling of 2546932942840 in words is "two trillion, five hundred forty-six billion, nine hundred thirty-two million, nine hundred forty-two thousand, eight hundred forty".