2251702827 has 48 divisors (see below), whose sum is σ = 3710448000. Its totient is φ = 1338423840.

The previous prime is 2251702813. The next prime is 2251702841. The reversal of 2251702827 is 7282071522.

It is an interprime number because it is at equal distance from previous prime (2251702813) and next prime (2251702841).

It is not a de Polignac number, because 2251702827 - 2⁴ = 2251702811 is a prime.

It is a super-2 number, since 2×2251702827² = 10140331242239583858, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2251702791 and 2251702800.

It is not an unprimeable number, because it can be changed into a prime (2251702847) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 832924 + ... + 835622.

It is an arithmetic number, because the mean of its divisors is an integer number (77301000).

Almost surely, 2^2251702827 is an apocalyptic number.

2251702827 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

2251702827 is a deficient number, since it is larger than the sum of its proper divisors (1458745173).

2251702827 is a wasteful number, since it uses less digits than its factorization.

2251702827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 2251702827 is about 47452.1108803391. The cubic root of 2251702827 is about 1310.7011818362.

It can be divided in two parts, 2251 and 702827, that added together give a triangular number (705078 = T₁₁₈₇).

The spelling of 2251702827 in words is "two billion, two hundred fifty-one million, seven hundred two thousand, eight hundred twenty-seven".