2947258080 has 288 divisors, whose sum is σ = 10887379776. Its totient is φ = 721723392.

The previous prime is 2947258021. The next prime is 2947258087. The reversal of 2947258080 is 808527492.

2947258080 is a `hidden beast` number, since 29 + 47 + 2 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2947258087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5859109 + ... + 5859611.

It is an arithmetic number, because the mean of its divisors is an integer number (37803402).

Almost surely, 2^2947258080 is an apocalyptic number.

2947258080 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 2947258080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443689888).

2947258080 is an abundant number, since it is smaller than the sum of its proper divisors (7940121696).

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

2947258080 is a wasteful number, since it uses less digits than its factorization.

2947258080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 2947258080 is about 54288.6551684604. The cubic root of 2947258080 is about 1433.7476607627.

The spelling of 2947258080 in words is "two billion, nine hundred forty-seven million, two hundred fifty-eight thousand, eighty".