2961123840 has 120 divisors (see below), whose sum is σ = 10255284468. Its totient is φ = 789626880.

The previous prime is 2961123839. The next prime is 2961123871. The reversal of 2961123840 is 483211692.

2961123840 is a `hidden beast` number, since 2 + 9 + 611 + 2 + 38 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2957619456 + 3504384 = 54384^2 + 1872^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2961123795 and 2961123804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41221 + ... + 87300.

Almost surely, 2^2961123840 is an apocalyptic number.

2961123840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2961123840 is an abundant number, since it is smaller than the sum of its proper divisors (7294160628).

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

2961123840 is a wasteful number, since it uses less digits than its factorization.

2961123840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128550 (or 128531 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2961123840 is about 54416.2093497884. The cubic root of 2961123840 is about 1435.9925615752.

The spelling of 2961123840 in words is "two billion, nine hundred sixty-one million, one hundred twenty-three thousand, eight hundred forty".