2961447720 has 256 divisors, whose sum is σ = 11219558400. Its totient is φ = 607426560.

The previous prime is 2961447689. The next prime is 2961447737. The reversal of 2961447720 is 277441692.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 727932 + ... + 731988.

It is an arithmetic number, because the mean of its divisors is an integer number (43826400).

Almost surely, 2^2961447720 is an apocalyptic number.

2961447720 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 2961447720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5609779200).

2961447720 is an abundant number, since it is smaller than the sum of its proper divisors (8258110680).

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

2961447720 is a wasteful number, since it uses less digits than its factorization.

2961447720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4168 (or 4164 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 2961447720 is about 54419.1852199204. The cubic root of 2961447720 is about 1436.0449147064.

The spelling of 2961447720 in words is "two billion, nine hundred sixty-one million, four hundred forty-seven thousand, seven hundred twenty".