2971266480 has 480 divisors, whose sum is σ = 12430454400. Its totient is φ = 619315200.

The previous prime is 2971266469. The next prime is 2971266481. The reversal of 2971266480 is 846621792.

It is a happy number.

2971266480 is digitally balanced in base 2 and base 4, because in such bases 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 (45).

It is not an unprimeable number, because it can be changed into a prime (2971266481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6617296 + ... + 6617744.

It is an arithmetic number, because the mean of its divisors is an integer number (25896780).

Almost surely, 2^2971266480 is an apocalyptic number.

2971266480 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 2971266480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6215227200).

2971266480 is an abundant number, since it is smaller than the sum of its proper divisors (9459187920).

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

2971266480 is a wasteful number, since it uses less digits than its factorization.

2971266480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2971266480 is about 54509.3247068793. The cubic root of 2971266480 is about 1437.6302458420.

The spelling of 2971266480 in words is "two billion, nine hundred seventy-one million, two hundred sixty-six thousand, four hundred eighty".