2546123132320 has 96 divisors (see below), whose sum is σ = 6372208035648. Its totient is φ = 958065512448.

The previous prime is 2546123132291. The next prime is 2546123132321. The reversal of 2546123132320 is 232313216452.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (2546123132321) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 5282539 + ... + 5744341.

It is an arithmetic number, because the mean of its divisors is an integer number (66377167038).

Almost surely, 2^{2546123132320} is an apocalyptic number.

2546123132320 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 2546123132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3186104017824).

2546123132320 is an abundant number, since it is smaller than the sum of its proper divisors (3826084903328).

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

2546123132320 is a wasteful number, since it uses less digits than its factorization.

2546123132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463862 (or 463854 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 2546123132320 its reverse (232313216452), we get a palindrome (2778436348772).

The spelling of 2546123132320 in words is "two trillion, five hundred forty-six billion, one hundred twenty-three million, one hundred thirty-two thousand, three hundred twenty".