2254127616 has 400 divisors, whose sum is σ = 7507191384. Its totient is φ = 668860416.

The previous prime is 2254127599. The next prime is 2254127633. The reversal of 2254127616 is 6167214522.

It is a happy number.

2254127616 is a `hidden beast` number, since 2 + 25 + 4 + 12 + 7 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (2254127599) and next prime (2254127633).

It can be written as a sum of positive squares in 4 ways, for example, as 1348358400 + 905769216 = 36720^2 + 30096^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (40320) is a multiple of the sum of its prime divisors (168).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 19947976 + ... + 19948088.

Almost surely, 2^2254127616 is an apocalyptic number.

2254127616 is a gapful number since it is divisible by the number (26) 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 2254127616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3753595692).

2254127616 is an abundant number, since it is smaller than the sum of its proper divisors (5253063768).

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

2254127616 is a wasteful number, since it uses less digits than its factorization.

2254127616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 2254127616 is about 47477.6538594737. The cubic root of 2254127616 is about 1311.1714975496.

The spelling of 2254127616 in words is "two billion, two hundred fifty-four million, one hundred twenty-seven thousand, six hundred sixteen".