2251353434440 has 128 divisors (see below), whose sum is σ = 5677326184320. Its totient is φ = 796277606400.

The previous prime is 2251353434431. The next prime is 2251353434461. The reversal of 2251353434440 is 444343531522.

It is a super-2 number, since 2×2251353434440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2251353434393 and 2251353434402.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51471780 + ... + 51515500.

It is an arithmetic number, because the mean of its divisors is an integer number (44354110815).

Almost surely, 2^{2251353434440} is an apocalyptic number.

2251353434440 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 2251353434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2838663092160).

2251353434440 is an abundant number, since it is smaller than the sum of its proper divisors (3425972749880).

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

2251353434440 is a wasteful number, since it uses less digits than its factorization.

2251353434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46943 (or 46939 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 40.

Adding to 2251353434440 its reverse (444343531522), we get a palindrome (2695696965962).

The spelling of 2251353434440 in words is "two trillion, two hundred fifty-one billion, three hundred fifty-three million, four hundred thirty-four thousand, four hundred forty".