2102516 has 12 divisors (see below), whose sum is σ = 3962532. Its totient is φ = 970368.

The previous prime is 2102497. The next prime is 2102519. The reversal of 2102516 is 6152012.

It can be written as a sum of positive squares in 2 ways, for example, as 306916 + 1795600 = 554^2 + 1340^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2102494 and 2102503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102519) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20165 + ... + 20268.

It is an arithmetic number, because the mean of its divisors is an integer number (330211).

2^2102516 is an apocalyptic number.

2102516 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2102516 is a deficient number, since it is larger than the sum of its proper divisors (1860016).

2102516 is a wasteful number, since it uses less digits than its factorization.

2102516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40450 (or 40448 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 2102516 is about 1450.0055172309. The cubic root of 2102516 is about 128.1090379480.

Adding to 2102516 its reverse (6152012), we get a palindrome (8254528).

It can be divided in two parts, 21025 and 16, that multiplied together give a square (336400 = 580²).

The spelling of 2102516 in words is "two million, one hundred two thousand, five hundred sixteen".