261214002 has 72 divisors (see below), whose sum is σ = 667549116. Its totient is φ = 73592064.

The previous prime is 261213989. The next prime is 261214003. The reversal of 261214002 is 200412162.

261214002 is a `hidden beast` number, since 261 + 2 + 1 + 400 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 260790201 + 423801 = 16149^2 + 651^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261214003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 62358 + ... + 66414.

Almost surely, 2^261214002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261214002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333774558).

261214002 is an abundant number, since it is smaller than the sum of its proper divisors (406335114).

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

261214002 is a wasteful number, since it uses less digits than its factorization.

261214002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 261214002 is about 16162.1162599457. The cubic root of 261214002 is about 639.2422689248.

Adding to 261214002 its reverse (200412162), we get a palindrome (461626164).

The spelling of 261214002 in words is "two hundred sixty-one million, two hundred fourteen thousand, two".