2250045454400 has 84 divisors (see below), whose sum is σ = 5598726519060. Its totient is φ = 889905561600.

The previous prime is 2250045454351. The next prime is 2250045454403. The reversal of 2250045454400 is 44545400522.

It can be written as a sum of positive squares in 6 ways, for example, as 14685561856 + 2235359892544 = 121184^2 + 1495112^2 .

It is a super-2 number, since 2×2250045454400² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2250045454403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7758041 + ... + 8042840.

Almost surely, 2^{2250045454400} is an apocalyptic number.

2250045454400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2250045454400 is an abundant number, since it is smaller than the sum of its proper divisors (3348681064660).

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

2250045454400 is a wasteful number, since it uses less digits than its factorization.

2250045454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15800992 (or 15800977 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 35.

The spelling of 2250045454400 in words is "two trillion, two hundred fifty billion, forty-five million, four hundred fifty-four thousand, four hundred".