2906900 has 36 divisors (see below), whose sum is σ = 6470940. Its totient is φ = 1132800.

The previous prime is 2906887. The next prime is 2906951. The reversal of 2906900 is 96092.

It can be written as a sum of positive squares in 6 ways, for example, as 1008016 + 1898884 = 1004^2 + 1378^2 .

It is a super-2 number, since 2×2906900² = 16900135220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2906900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3746 + ... + 4454.

2^2906900 is an apocalyptic number.

2906900 is a gapful number since it is divisible by the number (20) 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 2906900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235470).

2906900 is an abundant number, since it is smaller than the sum of its proper divisors (3564040).

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

2906900 is a wasteful number, since it uses less digits than its factorization.

2906900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 2906900 is about 1704.9633427144. The cubic root of 2906900 is about 142.7173251064.

It can be divided in two parts, 290 and 6900, that multiplied together give a triangular number (2001000 = T₂₀₀₀).

The spelling of 2906900 in words is "two million, nine hundred six thousand, nine hundred".