2958747480 has 256 divisors, whose sum is σ = 10753344000. Its totient is φ = 719248896.

The previous prime is 2958747479. The next prime is 2958747481. The reversal of 2958747480 is 847478592.

It is a happy number.

2958747480 is a `hidden beast` number, since 2 + 95 + 8 + 7 + 474 + 80 = 666.

2958747480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2958747479) and next prime (2958747481).

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2958747481) 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, 1164051 + ... + 1166589.

It is an arithmetic number, because the mean of its divisors is an integer number (42005250).

Almost surely, 2^2958747480 is an apocalyptic number.

2958747480 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 2958747480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5376672000).

2958747480 is an abundant number, since it is smaller than the sum of its proper divisors (7794596520).

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

2958747480 is a wasteful number, since it uses less digits than its factorization.

2958747480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2645 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 2958747480 is about 54394.3699292491. The cubic root of 2958747480 is about 1435.6083213650.

The spelling of 2958747480 in words is "two billion, nine hundred fifty-eight million, seven hundred forty-seven thousand, four hundred eighty".