2428834980 has 384 divisors, whose sum is σ = 8616222720. Its totient is φ = 502364160.

The previous prime is 2428834973. The next prime is 2428834981. The reversal of 2428834980 is 894388242.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2428834981) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 7661782 + ... + 7662098.

It is an arithmetic number, because the mean of its divisors is an integer number (22438080).

Almost surely, 2^2428834980 is an apocalyptic number.

2428834980 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 2428834980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308111360).

2428834980 is an abundant number, since it is smaller than the sum of its proper divisors (6187387740).

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

2428834980 is a wasteful number, since it uses less digits than its factorization.

2428834980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 2428834980 is about 49283.2119488980. The cubic root of 2428834980 is about 1344.2065366939.

The spelling of 2428834980 in words is "two billion, four hundred twenty-eight million, eight hundred thirty-four thousand, nine hundred eighty".