2651616 has 144 divisors (see below), whose sum is σ = 8805888. Its totient is φ = 777600.

The previous prime is 2651611. The next prime is 2651617. The reversal of 2651616 is 6161562.

It is a happy number.

2651616 is a `hidden beast` number, since 2 + 651 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×2651616² = 14062134822912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 2651616.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2651611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85521 + ... + 85551.

It is an arithmetic number, because the mean of its divisors is an integer number (61152).

2^2651616 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 2651616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944).

2651616 is an abundant number, since it is smaller than the sum of its proper divisors (6154272).

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

2651616 is a wasteful number, since it uses less digits than its factorization.

2651616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 2651616 is about 1628.3783344174. The cubic root of 2651616 is about 138.4108737712.

It can be divided in two parts, 265 and 1616, that added together give a palindrome (1881).

The spelling of 2651616 in words is "two million, six hundred fifty-one thousand, six hundred sixteen".