2506214321 has 8 divisors (see below), whose sum is σ = 2699582760. Its totient is φ = 2312929152.

The previous prime is 2506214201. The next prime is 2506214327. The reversal of 2506214321 is 1234126052.

It is a happy number.

2506214321 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 338008225 + 2168206096 = 18385^2 + 46564^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2506214321 - 2¹⁴ = 2506197937 is a prime.

It is a super-2 number, since 2×2506214321² = 12562220445570982082, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2506214327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50861 + ... + 87173.

It is an arithmetic number, because the mean of its divisors is an integer number (337447845).

Almost surely, 2^2506214321 is an apocalyptic number.

It is an amenable number.

2506214321 is a deficient number, since it is larger than the sum of its proper divisors (193368439).

2506214321 is a wasteful number, since it uses less digits than its factorization.

2506214321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41635.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2506214321 is about 50062.1046401367. The cubic root of 2506214321 is about 1358.3324286326.

The spelling of 2506214321 in words is "two billion, five hundred six million, two hundred fourteen thousand, three hundred twenty-one".