2024764740 has 72 divisors (see below), whose sum is σ = 6164110680. Its totient is φ = 537974784.

The previous prime is 2024764739. The next prime is 2024764759. The reversal of 2024764740 is 474674202.

It is a happy number.

2024764740 is a `hidden beast` number, since 2 + 0 + 2 + 4 + 7 + 647 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 304704 + 2024460036 = 552^2 + 44994^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2024764695 and 2024764704.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29556 + ... + 70164.

Almost surely, 2^2024764740 is an apocalyptic number.

2024764740 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 2024764740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082055340).

2024764740 is an abundant number, since it is smaller than the sum of its proper divisors (4139345940).

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

2024764740 is a wasteful number, since it uses less digits than its factorization.

2024764740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40901 (or 40896 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 2024764740 is about 44997.3859240734. The cubic root of 2024764740 is about 1265.1000019888.

The spelling of 2024764740 in words is "two billion, twenty-four million, seven hundred sixty-four thousand, seven hundred forty".