2970640 has 40 divisors (see below), whose sum is σ = 7017408. Its totient is φ = 1169280.

The previous prime is 2970629. The next prime is 2970659. The reversal of 2970640 is 460792.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×2970640³ = 78645038333394432000, which contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2970599 and 2970608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5419 + ... + 5941.

2^2970640 is an apocalyptic number.

2970640 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 2970640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508704).

2970640 is an abundant number, since it is smaller than the sum of its proper divisors (4046768).

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

2970640 is a wasteful number, since it uses less digits than its factorization.

2970640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 2970640 is about 1723.5544667924. The cubic root of 2970640 is about 143.7529199155.

The spelling of 2970640 in words is "two million, nine hundred seventy thousand, six hundred forty".