2952540 has 72 divisors (see below), whose sum is σ = 9172800. Its totient is φ = 768384.

The previous prime is 2952527. The next prime is 2952553. The reversal of 2952540 is 452592.

2952540 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2952527) and next prime (2952553).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8286 + ... + 8634.

It is an arithmetic number, because the mean of its divisors is an integer number (127400).

2^2952540 is an apocalyptic number.

2952540 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 2952540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4586400).

2952540 is an abundant number, since it is smaller than the sum of its proper divisors (6220260).

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

2952540 is a wasteful number, since it uses less digits than its factorization.

2952540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 2952540 is about 1718.2956672238. The cubic root of 2952540 is about 143.4603645184.

The spelling of 2952540 in words is "two million, nine hundred fifty-two thousand, five hundred forty".