2966040 has 192 divisors, whose sum is σ = 12130560. Its totient is φ = 610560.

The previous prime is 2966017. The next prime is 2966059. The reversal of 2966040 is 406692.

2966040 = 82³ + 83³ + ... + 86³.

2966040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2965995 and 2966013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27667 + ... + 27773.

It is an arithmetic number, because the mean of its divisors is an integer number (63180).

2^2966040 is an apocalyptic number.

2966040 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 2966040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6065280).

2966040 is an abundant number, since it is smaller than the sum of its proper divisors (9164520).

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

2966040 is a wasteful number, since it uses less digits than its factorization.

2966040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2966040 is about 1722.2194982057. The cubic root of 2966040 is about 143.6786816991.

It can be divided in two parts, 296 and 6040, that added together give a palindrome (6336).

The spelling of 2966040 in words is "two million, nine hundred sixty-six thousand, forty".