2893724240 has 160 divisors (see below), whose sum is σ = 7585764480. Its totient is φ = 1017446400.

The previous prime is 2893724213. The next prime is 2893724243. The reversal of 2893724240 is 424273982.

2893724240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2893724243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5014832 + ... + 5015408.

It is an arithmetic number, because the mean of its divisors is an integer number (47411028).

Almost surely, 2^2893724240 is an apocalyptic number.

2893724240 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 2893724240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3792882240).

2893724240 is an abundant number, since it is smaller than the sum of its proper divisors (4692040240).

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

2893724240 is a wasteful number, since it uses less digits than its factorization.

2893724240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 781 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 2893724240 is about 53793.3475440969. The cubic root of 2893724240 is about 1425.0137255270.

The spelling of 2893724240 in words is "two billion, eight hundred ninety-three million, seven hundred twenty-four thousand, two hundred forty".