2434629840 has 160 divisors (see below), whose sum is σ = 8013344256. Its totient is φ = 609361920.

The previous prime is 2434629839. The next prime is 2434629913. The reversal of 2434629840 is 489264342.

It is a junction number, because it is equal to n+sod(n) for n = 2434629792 and 2434629801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2206729 + ... + 2207831.

Almost surely, 2^2434629840 is an apocalyptic number.

2434629840 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 2434629840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4006672128).

2434629840 is an abundant number, since it is smaller than the sum of its proper divisors (5578714416).

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

2434629840 is a wasteful number, since it uses less digits than its factorization.

2434629840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 42.

The square root of 2434629840 is about 49341.9683433890. The cubic root of 2434629840 is about 1345.2747171284.

The spelling of 2434629840 in words is "two billion, four hundred thirty-four million, six hundred twenty-nine thousand, eight hundred forty".