2961517041 has 24 divisors (see below), whose sum is σ = 4890304640. Its totient is φ = 1691793216.

The previous prime is 2961516973. The next prime is 2961517067. The reversal of 2961517041 is 1407151692.

2961517041 is a `hidden beast` number, since 29 + 615 + 17 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 2961517041 - 2¹⁷ = 2961385969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2961516987 and 2961517005.

It is not an unprimeable number, because it can be changed into a prime (2961517241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354276 + ... + 362538.

Almost surely, 2^2961517041 is an apocalyptic number.

2961517041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2961517041 is a deficient number, since it is larger than the sum of its proper divisors (1928787599).

2961517041 is a wasteful number, since it uses less digits than its factorization.

2961517041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13965 (or 13962 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 2961517041 is about 54419.8221331162. The cubic root of 2961517041 is about 1436.0561195069.

It can be divided in two parts, 29615 and 17041, that added together give a 6-th power (46656 = 6⁶).

The spelling of 2961517041 in words is "two billion, nine hundred sixty-one million, five hundred seventeen thousand, forty-one".