2609040 has 80 divisors (see below), whose sum is σ = 9249408. Its totient is φ = 595968.

The previous prime is 2609029. The next prime is 2609059. The reversal of 2609040 is 409062.

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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 2608998 and 2609016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904 + ... + 2456.

2^2609040 is an apocalyptic number.

2609040 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 2609040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4624704).

2609040 is an abundant number, since it is smaller than the sum of its proper divisors (6640368).

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

2609040 is a wasteful number, since it uses less digits than its factorization.

2609040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2609040 is about 1615.2523022735. The cubic root of 2609040 is about 137.6660693170. Note that the first 3 decimals are identical.

The spelling of 2609040 in words is "two million, six hundred nine thousand, forty".