2958539040 has 384 divisors, whose sum is σ = 10724313600. Its totient is φ = 761425920.

The previous prime is 2958539021. The next prime is 2958539047. The reversal of 2958539040 is 409358592.

2958539040 is a `hidden beast` number, since 29 + 58 + 539 + 0 + 40 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2958539047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27142506 + ... + 27142614.

It is an arithmetic number, because the mean of its divisors is an integer number (27927900).

Almost surely, 2^2958539040 is an apocalyptic number.

2958539040 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 2958539040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5362156800).

2958539040 is an abundant number, since it is smaller than the sum of its proper divisors (7765774560).

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

2958539040 is a wasteful number, since it uses less digits than its factorization.

2958539040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 2958539040 is about 54392.4538883842. The cubic root of 2958539040 is about 1435.5746083127.

The spelling of 2958539040 in words is "two billion, nine hundred fifty-eight million, five hundred thirty-nine thousand, forty".