2253995020800 has 1440 divisors, whose sum is σ = 8913559209984. Its totient is φ = 541458432000.

The previous prime is 2253995020787. The next prime is 2253995020801. The reversal of 2253995020800 is 80205993522.

2253995020800 is a `hidden beast` number, since 2 + 2 + 5 + 399 + 50 + 208 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is not an unprimeable number, because it can be changed into a prime (2253995020801) 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 143 ways as a sum of consecutive naturals, for example, 8317324665 + ... + 8317324935.

Almost surely, 2^{2253995020800} is an apocalyptic number.

2253995020800 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 2253995020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4456779604992).

2253995020800 is an abundant number, since it is smaller than the sum of its proper divisors (6659564189184).

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

2253995020800 is a wasteful number, since it uses less digits than its factorization.

2253995020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 2253995020800 in words is "two trillion, two hundred fifty-three billion, nine hundred ninety-five million, twenty thousand, eight hundred".