2968640 has 28 divisors (see below), whose sum is σ = 7069836. Its totient is φ = 1187328.

The previous prime is 2968639. The next prime is 2968673. The reversal of 2968640 is 468692.

It can be written as a sum of positive squares in 2 ways, for example, as 1784896 + 1183744 = 1336^2 + 1088^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2968640.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4319 + ... + 4958.

2^2968640 is an apocalyptic number.

2968640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2968640 is an abundant number, since it is smaller than the sum of its proper divisors (4101196).

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

2968640 is an equidigital number, since it uses as much as digits as its factorization.

2968640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9294 (or 9284 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2968640 is about 1722.9741727606. The cubic root of 2968640 is about 143.7206518537.

The spelling of 2968640 in words is "two million, nine hundred sixty-eight thousand, six hundred forty".