2501616 has 80 divisors (see below), whose sum is σ = 7360640. Its totient is φ = 725760.

The previous prime is 2501599. The next prime is 2501623. The reversal of 2501616 is 6161052.

2501616 = T₃₉ + T₄₀ + ... + T₂₄₆.

It is a happy number.

2501616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2501616² = 12516165222912, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2501592 and 2501601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11751 + ... + 11961.

It is an arithmetic number, because the mean of its divisors is an integer number (92008).

2^2501616 is an apocalyptic number.

2501616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2501616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680320).

2501616 is an abundant number, since it is smaller than the sum of its proper divisors (4859024).

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

2501616 is a wasteful number, since it uses less digits than its factorization.

2501616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2501616 is about 1581.6497715993. The cubic root of 2501616 is about 135.7501178568.

Adding to 2501616 its reverse (6161052), we get a palindrome (8662668).

The spelling of 2501616 in words is "two million, five hundred one thousand, six hundred sixteen".