2428677640 has 192 divisors, whose sum is σ = 6125777280. Its totient is φ = 864230400.

The previous prime is 2428677623. The next prime is 2428677649. The reversal of 2428677640 is 467768242.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428677649) 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 47 ways as a sum of consecutive naturals, for example, 36248887 + ... + 36248953.

It is an arithmetic number, because the mean of its divisors is an integer number (31905090).

Almost surely, 2^2428677640 is an apocalyptic number.

2428677640 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 2428677640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062888640).

2428677640 is an abundant number, since it is smaller than the sum of its proper divisors (3697099640).

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

2428677640 is a wasteful number, since it uses less digits than its factorization.

2428677640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 46.

The square root of 2428677640 is about 49281.6156391001. The cubic root of 2428677640 is about 1344.1775101544.

It can be divided in two parts, 24286 and 77640, that added together give a triangular number (101926 = T₄₅₁).

The spelling of 2428677640 in words is "two billion, four hundred twenty-eight million, six hundred seventy-seven thousand, six hundred forty".