2546367840 has 384 divisors, whose sum is σ = 9521971200. Its totient is φ = 641613312.

The previous prime is 2546367829. The next prime is 2546367847. The reversal of 2546367840 is 487636452.

2546367840 is a `hidden beast` number, since 2 + 5 + 4 + 636 + 7 + 8 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2546367847) 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 63 ways as a sum of consecutive naturals, for example, 6648289 + ... + 6648671.

It is an arithmetic number, because the mean of its divisors is an integer number (24796800).

Almost surely, 2^2546367840 is an apocalyptic number.

2546367840 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 2546367840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4760985600).

2546367840 is an abundant number, since it is smaller than the sum of its proper divisors (6975603360).

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

2546367840 is an equidigital number, since it uses as much as digits as its factorization.

2546367840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2546367840 is about 50461.5481332073. The cubic root of 2546367840 is about 1365.5482401056.

The spelling of 2546367840 in words is "two billion, five hundred forty-six million, three hundred sixty-seven thousand, eight hundred forty".