2250879840 has 576 divisors, whose sum is σ = 9180138240. Its totient is φ = 515082240.

The previous prime is 2250879823. The next prime is 2250879857. The reversal of 2250879840 is 489780522.

It is an interprime number because it is at equal distance from previous prime (2250879823) and next prime (2250879857).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8125782 + ... + 8126058.

It is an arithmetic number, because the mean of its divisors is an integer number (15937740).

Almost surely, 2^2250879840 is an apocalyptic number.

2250879840 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 2250879840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4590069120).

2250879840 is an abundant number, since it is smaller than the sum of its proper divisors (6929258400).

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

2250879840 is a wasteful number, since it uses less digits than its factorization.

2250879840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2250879840 is about 47443.4383239664. The cubic root of 2250879840 is about 1310.5414772982.

The spelling of 2250879840 in words is "two billion, two hundred fifty million, eight hundred seventy-nine thousand, eight hundred forty".