2581253360 has 160 divisors (see below), whose sum is σ = 7368576000. Its totient is φ = 838252800.

The previous prime is 2581253333. The next prime is 2581253371. The reversal of 2581253360 is 633521852.

It is a super-2 number, since 2×2581253360² = 13325737817022579200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2581253360.

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 31 ways as a sum of consecutive naturals, for example, 518885 + ... + 523835.

It is an arithmetic number, because the mean of its divisors is an integer number (46053600).

Almost surely, 2^2581253360 is an apocalyptic number.

2581253360 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 2581253360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684288000).

2581253360 is an abundant number, since it is smaller than the sum of its proper divisors (4787322640).

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

2581253360 is a wasteful number, since it uses less digits than its factorization.

2581253360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5004 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 2581253360 is about 50806.0366492014. The cubic root of 2581253360 is about 1371.7560304779.

The spelling of 2581253360 in words is "two billion, five hundred eighty-one million, two hundred fifty-three thousand, three hundred sixty".