2546131320 has 320 divisors, whose sum is σ = 8948443680. Its totient is φ = 648705024.

The previous prime is 2546131261. The next prime is 2546131337. The reversal of 2546131320 is 231316452.

2546131320 is a `hidden beast` number, since 25 + 4 + 613 + 1 + 3 + 20 = 666.

2546131320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8031802 + ... + 8032118.

Almost surely, 2^2546131320 is an apocalyptic number.

2546131320 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 2546131320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474221840).

2546131320 is an abundant number, since it is smaller than the sum of its proper divisors (6402312360).

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

2546131320 is a wasteful number, since it uses less digits than its factorization.

2546131320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2546131320 is about 50459.2045121601. The cubic root of 2546131320 is about 1365.5059590357.

Adding to 2546131320 its reverse (231316452), we get a palindrome (2777447772).

The spelling of 2546131320 in words is "two billion, five hundred forty-six million, one hundred thirty-one thousand, three hundred twenty".