2670624 has 96 divisors (see below), whose sum is σ = 8527680. Its totient is φ = 806400.

The previous prime is 2670611. The next prime is 2670637. The reversal of 2670624 is 4260762.

It is an interprime number because it is at equal distance from previous prime (2670611) and next prime (2670637).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9364 + ... + 9644.

It is an arithmetic number, because the mean of its divisors is an integer number (88830).

2^2670624 is an apocalyptic number.

2670624 is a gapful number since it is divisible by the number (24) 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 2670624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263840).

2670624 is an abundant number, since it is smaller than the sum of its proper divisors (5857056).

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

2670624 is a wasteful number, since it uses less digits than its factorization.

2670624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2670624 is about 1634.2043935812. The cubic root of 2670624 is about 138.7408175077.

The spelling of 2670624 in words is "two million, six hundred seventy thousand, six hundred twenty-four".