2253410540400 has 480 divisors, whose sum is σ = 7781079354048. Its totient is φ = 555378278400.

The previous prime is 2253410540357. The next prime is 2253410540453. The reversal of 2253410540400 is 40450143522.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1066449744 + ... + 1066451856.

Almost surely, 2^{2253410540400} is an apocalyptic number.

2253410540400 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 2253410540400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3890539677024).

2253410540400 is an abundant number, since it is smaller than the sum of its proper divisors (5527668813648).

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

2253410540400 is a wasteful number, since it uses less digits than its factorization.

2253410540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3069 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 2253410540400 its reverse (40450143522), we get a palindrome (2293860683922).

The spelling of 2253410540400 in words is "two trillion, two hundred fifty-three billion, four hundred ten million, five hundred forty thousand, four hundred".