2252283840 has 448 divisors, whose sum is σ = 8394192000. Its totient is φ = 567705600.

The previous prime is 2252283779. The next prime is 2252283853. The reversal of 2252283840 is 483822522.

2252283840 is a `hidden beast` number, since 2 + 252 + 28 + 384 + 0 = 666.

2252283840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 2252283795 and 2252283804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22299790 + ... + 22299890.

Almost surely, 2^2252283840 is an apocalyptic number.

2252283840 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 2252283840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197096000).

2252283840 is an abundant number, since it is smaller than the sum of its proper divisors (6141908160).

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

2252283840 is a wasteful number, since it uses less digits than its factorization.

2252283840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 2252283840 is about 47458.2325840312. The cubic root of 2252283840 is about 1310.8139067372.

The spelling of 2252283840 in words is "two billion, two hundred fifty-two million, two hundred eighty-three thousand, eight hundred forty".