2024745464 has 48 divisors (see below), whose sum is σ = 4432446000. Its totient is φ = 866737872.

The previous prime is 2024745451. The next prime is 2024745467. The reversal of 2024745464 is 4645474202.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2024745467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2356667 + ... + 2357525.

It is an arithmetic number, because the mean of its divisors is an integer number (92342625).

Almost surely, 2^2024745464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2024745464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216223000).

2024745464 is an abundant number, since it is smaller than the sum of its proper divisors (2407700536).

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

2024745464 is an frugal number, since it uses more digits than its factorization.

2024745464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 38.

The square root of 2024745464 is about 44997.1717333434. The cubic root of 2024745464 is about 1265.0959873421.

The spelling of 2024745464 in words is "two billion, twenty-four million, seven hundred forty-five thousand, four hundred sixty-four".