2251134000 has 120 divisors (see below), whose sum is σ = 7862523552. Its totient is φ = 600297600.

The previous prime is 2251133959. The next prime is 2251134007. The reversal of 2251134000 is 4311522.

2251134000 is a `hidden beast` number, since 2 + 251 + 13 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2251134007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44532 + ... + 80531.

Almost surely, 2^2251134000 is an apocalyptic number.

2251134000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2251134000 is an abundant number, since it is smaller than the sum of its proper divisors (5611389552).

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

2251134000 is a wasteful number, since it uses less digits than its factorization.

2251134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125092 (or 125073 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2251134000 is about 47446.1168063309. The cubic root of 2251134000 is about 1310.5908024080.

Adding to 2251134000 its reverse (4311522), we get a palindrome (2255445522).

It can be divided in two parts, 225 and 1134000, that added together give a square (1134225 = 1065²).

The spelling of 2251134000 in words is "two billion, two hundred fifty-one million, one hundred thirty-four thousand".