2253795840 has 240 divisors, whose sum is σ = 8096856768. Its totient is φ = 600846336.

The previous prime is 2253795833. The next prime is 2253795877. The reversal of 2253795840 is 485973522.

2253795840 is a `hidden beast` number, since 22 + 537 + 9 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 620269 + ... + 623891.

Almost surely, 2^2253795840 is an apocalyptic number.

2253795840 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 2253795840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048428384).

2253795840 is an abundant number, since it is smaller than the sum of its proper divisors (5843060928).

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

2253795840 is an frugal number, since it uses more digits than its factorization.

2253795840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3661 (or 3633 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 2253795840 is about 47474.1597082034. The cubic root of 2253795840 is about 1311.1071657025.

The spelling of 2253795840 in words is "two billion, two hundred fifty-three million, seven hundred ninety-five thousand, eight hundred forty".