2429640 has 96 divisors (see below), whose sum is σ = 8381880. Its totient is φ = 608256.

The previous prime is 2429633. The next prime is 2429653. The reversal of 2429640 is 469242.

It can be written as a sum of positive squares in 4 ways, for example, as 2304324 + 125316 = 1518^2 + 354^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5922 + ... + 6318.

2^2429640 is an apocalyptic number.

2429640 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 2429640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4190940).

2429640 is an abundant number, since it is smaller than the sum of its proper divisors (5952240).

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

2429640 is a wasteful number, since it uses less digits than its factorization.

2429640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 2429640 is about 1558.7302524812. The cubic root of 2429640 is about 134.4355029507.

It can be divided in two parts, 24296 and 40, that added together give a square (24336 = 156²).

The spelling of 2429640 in words is "two million, four hundred twenty-nine thousand, six hundred forty".