2428572640 has 96 divisors (see below), whose sum is σ = 6212215296. Its totient is φ = 891863040.

The previous prime is 2428572611. The next prime is 2428572659. The reversal of 2428572640 is 462758242.

It is a super-3 number, since 3×2428572640³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2428572593 and 2428572602.

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 15 ways as a sum of consecutive naturals, for example, 394224 + ... + 400336.

It is an arithmetic number, because the mean of its divisors is an integer number (64710576).

Almost surely, 2^2428572640 is an apocalyptic number.

2428572640 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 2428572640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106107648).

2428572640 is an abundant number, since it is smaller than the sum of its proper divisors (3783642656).

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

2428572640 is a wasteful number, since it uses less digits than its factorization.

2428572640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The square root of 2428572640 is about 49280.5503216025. The cubic root of 2428572640 is about 1344.1581387524.

The spelling of 2428572640 in words is "two billion, four hundred twenty-eight million, five hundred seventy-two thousand, six hundred forty".