2552319 has 48 divisors (see below), whose sum is σ = 4792320. Its totient is φ = 1270080.

The previous prime is 2552317. The next prime is 2552357. The reversal of 2552319 is 9132552.

It is not a de Polignac number, because 2552319 - 2¹ = 2552317 is a prime.

It is a super-2 number, since 2×2552319² = 13028664555522, which contains 22 as substring.

It is a d-powerful number, because it can be written as 2² + 5² + 5⁹ + 2¹⁶ + 3⁷ + 1 + 9⁶ .

Its product of digits (2700) is a multiple of the sum of its prime factors (180).

It is a junction number, because it is equal to n+sod(n) for n = 2552292 and 2552301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20034 + ... + 20160.

It is an arithmetic number, because the mean of its divisors is an integer number (99840).

2^2552319 is an apocalyptic number.

2552319 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

2552319 is a deficient number, since it is larger than the sum of its proper divisors (2240001).

2552319 is a wasteful number, since it uses less digits than its factorization.

2552319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 177 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

The square root of 2552319 is about 1597.5978843251. The cubic root of 2552319 is about 136.6611227839.

The spelling of 2552319 in words is "two million, five hundred fifty-two thousand, three hundred nineteen".