2906736 has 80 divisors (see below), whose sum is σ = 8832768. Its totient is φ = 806400.

The previous prime is 2906723. The next prime is 2906741. The reversal of 2906736 is 6376092.

2906736 = 246² + 247² + ... + 286².

It is a super-2 number, since 2×2906736² = 16898228347392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2906697 and 2906706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13671 + ... + 13881.

2^2906736 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 2906736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4416384).

2906736 is an abundant number, since it is smaller than the sum of its proper divisors (5926032).

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

2906736 is a wasteful number, since it uses less digits than its factorization.

2906736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 2906736 is about 1704.9152471604. The cubic root of 2906736 is about 142.7146411382.

The spelling of 2906736 in words is "two million, nine hundred six thousand, seven hundred thirty-six".