2971890 has 48 divisors (see below), whose sum is σ = 8019648. Its totient is φ = 791856.

The previous prime is 2971883. The next prime is 2971897. The reversal of 2971890 is 981792.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2971883) and next prime (2971897).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2971897) 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, 1819 + ... + 3041.

It is an arithmetic number, because the mean of its divisors is an integer number (167076).

2^2971890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2971890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824).

2971890 is an abundant number, since it is smaller than the sum of its proper divisors (5047758).

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

2971890 is a wasteful number, since it uses less digits than its factorization.

2971890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1233 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 2971890 is about 1723.9170513688. The cubic root of 2971890 is about 143.7730801000.

It can be divided in two parts, 297 and 1890, that added together give a 7-th power (2187 = 3⁷).

The spelling of 2971890 in words is "two million, nine hundred seventy-one thousand, eight hundred ninety".