2251134340 has 96 divisors (see below), whose sum is σ = 5905476864. Its totient is φ = 701775360.

The previous prime is 2251134331. The next prime is 2251134371. The reversal of 2251134340 is 434311522.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 112710 + ... + 131170.

It is an arithmetic number, because the mean of its divisors is an integer number (61515384).

Almost surely, 2^2251134340 is an apocalyptic number.

2251134340 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 2251134340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952738432).

2251134340 is an abundant number, since it is smaller than the sum of its proper divisors (3654342524).

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

2251134340 is a wasteful number, since it uses less digits than its factorization.

2251134340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18557 (or 18555 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 2251134340 is about 47446.1203893427. The cubic root of 2251134340 is about 1310.5908683897.

Adding to 2251134340 its reverse (434311522), we get a palindrome (2685445862).

The spelling of 2251134340 in words is "two billion, two hundred fifty-one million, one hundred thirty-four thousand, three hundred forty".