2280587400 has 1080 divisors, whose sum is σ = 10564203870. Its totient is φ = 452874240.

The previous prime is 2280587377. The next prime is 2280587401. The reversal of 2280587400 is 47850822.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 142884 + 2280444516 = 378^2 + 47754^2 .

It is a tau number, because it is divible by the number of its divisors (1080).

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 (2280587401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 134152192 + ... + 134152208.

Almost surely, 2^2280587400 is an apocalyptic number.

2280587400 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 2280587400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5282101935).

2280587400 is an abundant number, since it is smaller than the sum of its proper divisors (8283616470).

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

2280587400 is a wasteful number, since it uses less digits than its factorization.

2280587400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2280587400 is about 47755.4960187830. The cubic root of 2280587400 is about 1316.2818922314.

The spelling of 2280587400 in words is "two billion, two hundred eighty million, five hundred eighty-seven thousand, four hundred".