2261616 has 80 divisors (see below), whose sum is σ = 6856704. Its totient is φ = 628992.

The previous prime is 2261603. The next prime is 2261617. The reversal of 2261616 is 6161622.

It is a super-2 number, since 2×2261616² = 10229813862912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17745 + ... + 17871.

2^2261616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3428352).

2261616 is an abundant number, since it is smaller than the sum of its proper divisors (4595088).

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

2261616 is a wasteful number, since it uses less digits than its factorization.

2261616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 192 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 2261616 is about 1503.8670153973. The cubic root of 2261616 is about 131.2621829961.

The spelling of 2261616 in words is "two million, two hundred sixty-one thousand, six hundred sixteen".