2698640 has 80 divisors (see below), whose sum is σ = 7380480. Its totient is φ = 898560.

The previous prime is 2698609. The next prime is 2698649. The reversal of 2698640 is 468962.

2698640 = T₁₃ + T₁₄ + ... + T₂₅₂.

2698640 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 2698640.

It is not an unprimeable number, because it can be changed into a prime (2698649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34121 + ... + 34199.

It is an arithmetic number, because the mean of its divisors is an integer number (92256).

2^2698640 is an apocalyptic number.

2698640 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 2698640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3690240).

2698640 is an abundant number, since it is smaller than the sum of its proper divisors (4681840).

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

2698640 is a wasteful number, since it uses less digits than its factorization.

2698640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 154 counting only the distinct ones).

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

The square root of 2698640 is about 1642.7537855686. The cubic root of 2698640 is about 139.2242812269.

The spelling of 2698640 in words is "two million, six hundred ninety-eight thousand, six hundred forty".