2966311040 has 192 divisors, whose sum is σ = 9000072000. Its totient is φ = 924456960.

The previous prime is 2966311003. The next prime is 2966311069. The reversal of 2966311040 is 401136692.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2966310988 and 2966311006.

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 23 ways as a sum of consecutive naturals, for example, 340661 + ... + 349259.

It is an arithmetic number, because the mean of its divisors is an integer number (46875375).

Almost surely, 2^2966311040 is an apocalyptic number.

2966311040 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 2966311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500036000).

2966311040 is an abundant number, since it is smaller than the sum of its proper divisors (6033760960).

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

2966311040 is a wasteful number, since it uses less digits than its factorization.

2966311040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8643 (or 8624 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 32.

The square root of 2966311040 is about 54463.8507636028. The cubic root of 2966311040 is about 1436.8305807120.

The spelling of 2966311040 in words is "two billion, nine hundred sixty-six million, three hundred eleven thousand, forty".