2545679360 has 264 divisors, whose sum is σ = 7252766640. Its totient is φ = 854654976.

The previous prime is 2545679347. The next prime is 2545679401. The reversal of 2545679360 is 639765452.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 18314171 + ... + 18314309.

Almost surely, 2^2545679360 is an apocalyptic number.

2545679360 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 2545679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3626383320).

2545679360 is an abundant number, since it is smaller than the sum of its proper divisors (4707087280).

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

2545679360 is a wasteful number, since it uses less digits than its factorization.

2545679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 47.

The square root of 2545679360 is about 50454.7258440674. The cubic root of 2545679360 is about 1365.4251579410.

The spelling of 2545679360 in words is "two billion, five hundred forty-five million, six hundred seventy-nine thousand, three hundred sixty".