2801092560 has 160 divisors (see below), whose sum is σ = 9958029312. Its totient is φ = 638046720.

The previous prime is 2801092531. The next prime is 2801092589. The reversal of 2801092560 is 652901082.

It is an interprime number because it is at equal distance from previous prime (2801092531) and next prime (2801092589).

It is a super-2 number, since 2×2801092560² = 15692239059374707200, which contains 22 as substring.

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, 513045 + ... + 518475.

Almost surely, 2^2801092560 is an apocalyptic number.

2801092560 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 2801092560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979014656).

2801092560 is an abundant number, since it is smaller than the sum of its proper divisors (7156936752).

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

2801092560 is a wasteful number, since it uses less digits than its factorization.

2801092560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5761 (or 5755 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 2801092560 is about 52925.3489360250. The cubic root of 2801092560 is about 1409.6430463049.

The spelling of 2801092560 in words is "two billion, eight hundred one million, ninety-two thousand, five hundred sixty".