2941456680 has 224 divisors, whose sum is σ = 10004229000. Its totient is φ = 777973248.

The previous prime is 2941456621. The next prime is 2941456697. The reversal of 2941456680 is 866541492.

2941456680 is a `hidden beast` number, since 2 + 9 + 4 + 1 + 4 + 566 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2637233316 + 304223364 = 51354^2 + 17442^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 4344502 + ... + 4345178.

Almost surely, 2^2941456680 is an apocalyptic number.

2941456680 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 2941456680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5002114500).

2941456680 is an abundant number, since it is smaller than the sum of its proper divisors (7062772320).

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

2941456680 is a wasteful number, since it uses less digits than its factorization.

2941456680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2941456680 is about 54235.1977962651. The cubic root of 2941456680 is about 1432.8063104189.

The spelling of 2941456680 in words is "two billion, nine hundred forty-one million, four hundred fifty-six thousand, six hundred eighty".