2428429410 has 160 divisors (see below), whose sum is σ = 7150809600. Its totient is φ = 586448640.

The previous prime is 2428429403. The next prime is 2428429411. The reversal of 2428429410 is 149248242.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2428429411) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4267606 + ... + 4268174.

It is an arithmetic number, because the mean of its divisors is an integer number (44692560).

Almost surely, 2^2428429410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428429410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575404800).

2428429410 is an abundant number, since it is smaller than the sum of its proper divisors (4722380190).

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

2428429410 is a wasteful number, since it uses less digits than its factorization.

2428429410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2428429410 is about 49279.0970899427. The cubic root of 2428429410 is about 1344.1317134149.

It can be divided in two parts, 242842 and 9410, that added together give a palindrome (252252).

The spelling of 2428429410 in words is "two billion, four hundred twenty-eight million, four hundred twenty-nine thousand, four hundred ten".