2254001400 has 144 divisors (see below), whose sum is σ = 8651120400. Its totient is φ = 515197440.

The previous prime is 2254001383. The next prime is 2254001401. The reversal of 2254001400 is 41004522.

2254001400 is a `hidden beast` number, since 225 + 40 + 0 + 1 + 400 = 666.

It is a super-2 number, since 2×2254001400² = 10161044622403920000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2254001401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 76845 + ... + 102044.

It is an arithmetic number, because the mean of its divisors is an integer number (60077225).

Almost surely, 2^2254001400 is an apocalyptic number.

2254001400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2254001400 is an abundant number, since it is smaller than the sum of its proper divisors (6397119000).

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

2254001400 is a wasteful number, since it uses less digits than its factorization.

2254001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178918 (or 178906 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2254001400 is about 47476.3246260702. The cubic root of 2254001400 is about 1311.1470248283.

Adding to 2254001400 its reverse (41004522), we get a palindrome (2295005922).

The spelling of 2254001400 in words is "two billion, two hundred fifty-four million, one thousand, four hundred".