2252785920 has 576 divisors, whose sum is σ = 9465845760. Its totient is φ = 442368000.

The previous prime is 2252785837. The next prime is 2252785973. The reversal of 2252785920 is 295872522.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 5617720 + ... + 5618120.

It is an arithmetic number, because the mean of its divisors is an integer number (16433760).

Almost surely, 2^2252785920 is an apocalyptic number.

2252785920 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 2252785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4732922880).

2252785920 is an abundant number, since it is smaller than the sum of its proper divisors (7213059840).

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

2252785920 is a wasteful number, since it uses less digits than its factorization.

2252785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 2252785920 is about 47463.5219932107. The cubic root of 2252785920 is about 1310.9113018844.

The spelling of 2252785920 in words is "two billion, two hundred fifty-two million, seven hundred eighty-five thousand, nine hundred twenty".