2253122315400 has 768 divisors, whose sum is σ = 8235552890880. Its totient is φ = 504092160000.

The previous prime is 2253122315357. The next prime is 2253122315417. The reversal of 2253122315400 is 45132213522.

It is a super-3 number, since 3×2253122315400³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 490767105 + ... + 490771695.

It is an arithmetic number, because the mean of its divisors is an integer number (10723376160).

Almost surely, 2^{2253122315400} is an apocalyptic number.

2253122315400 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 2253122315400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4117776445440).

2253122315400 is an abundant number, since it is smaller than the sum of its proper divisors (5982430575480).

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

2253122315400 is a wasteful number, since it uses less digits than its factorization.

2253122315400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4758 (or 4749 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 2253122315400 its reverse (45132213522), we get a palindrome (2298254528922).

The spelling of 2253122315400 in words is "two trillion, two hundred fifty-three billion, one hundred twenty-two million, three hundred fifteen thousand, four hundred".