2428410880 has 88 divisors (see below), whose sum is σ = 6657630048. Its totient is φ = 832585728.

The previous prime is 2428410871. The next prime is 2428410889. The reversal of 2428410880 is 880148242.

It is an interprime number because it is at equal distance from previous prime (2428410871) and next prime (2428410889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428410889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1962 + ... + 69718.

Almost surely, 2^2428410880 is an apocalyptic number.

2428410880 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 2428410880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328815024).

2428410880 is an abundant number, since it is smaller than the sum of its proper divisors (4229219168).

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

2428410880 is an equidigital number, since it uses as much as digits as its factorization.

2428410880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67789 (or 67771 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 37.

The square root of 2428410880 is about 49278.9090788341. The cubic root of 2428410880 is about 1344.1282946313.

The spelling of 2428410880 in words is "two billion, four hundred twenty-eight million, four hundred ten thousand, eight hundred eighty".