2551716 has 24 divisors (see below), whose sum is σ = 6615840. Its totient is φ = 850536.

The previous prime is 2551709. The next prime is 2551723. The reversal of 2551716 is 6171552.

It is an interprime number because it is at equal distance from previous prime (2551709) and next prime (2551723).

It is a super-2 number, since 2×2551716² = 13022509089312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2551716.

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 7 ways as a sum of consecutive naturals, for example, 11706 + ... + 11921.

It is an arithmetic number, because the mean of its divisors is an integer number (275660).

2^2551716 is an apocalyptic number.

It is an amenable number.

2551716 is an abundant number, since it is smaller than the sum of its proper divisors (4064124).

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

2551716 is a wasteful number, since it uses less digits than its factorization.

2551716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23640 (or 23632 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 2551716 is about 1597.4091523464. The cubic root of 2551716 is about 136.6503596116.

It can be divided in two parts, 255 and 1716, that multiplied together give a triangular number (437580 = T₉₃₅).

The spelling of 2551716 in words is "two million, five hundred fifty-one thousand, seven hundred sixteen".