2681252280 has 384 divisors, whose sum is σ = 10434977280. Its totient is φ = 606528000.

The previous prime is 2681252269. The next prime is 2681252281. The reversal of 2681252280 is 822521862.

It is a super-2 number, since 2×2681252280² = 14378227578010396800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2681252281) 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 95 ways as a sum of consecutive naturals, for example, 10682155 + ... + 10682405.

It is an arithmetic number, because the mean of its divisors is an integer number (27174420).

Almost surely, 2^2681252280 is an apocalyptic number.

2681252280 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 2681252280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5217488640).

2681252280 is an abundant number, since it is smaller than the sum of its proper divisors (7753725000).

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

2681252280 is a wasteful number, since it uses less digits than its factorization.

2681252280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2681252280 is about 51780.8099589027. The cubic root of 2681252280 is about 1389.2462279644.

The spelling of 2681252280 in words is "two billion, six hundred eighty-one million, two hundred fifty-two thousand, two hundred eighty".