2251377342 has 80 divisors (see below), whose sum is σ = 5179719600. Its totient is φ = 730632960.

The previous prime is 2251377341. The next prime is 2251377367. The reversal of 2251377342 is 2437731522.

2251377342 is a `hidden beast` number, since 2 + 251 + 377 + 34 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2251377297 and 2251377306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251377341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1040742 + ... + 1042902.

It is an arithmetic number, because the mean of its divisors is an integer number (64746495).

Almost surely, 2^2251377342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251377342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589859800).

2251377342 is an abundant number, since it is smaller than the sum of its proper divisors (2928342258).

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

2251377342 is a wasteful number, since it uses less digits than its factorization.

2251377342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2334 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 2251377342 is about 47448.6811407862. The cubic root of 2251377342 is about 1310.6380245778.

The spelling of 2251377342 in words is "two billion, two hundred fifty-one million, three hundred seventy-seven thousand, three hundred forty-two".