2961194557440 has 896 divisors, whose sum is σ = 11197101588480. Its totient is φ = 654204469248.

The previous prime is 2961194557439. The next prime is 2961194557441. The reversal of 2961194557440 is 447554911692.

It is an interprime number because it is at equal distance from previous prime (2961194557439) and next prime (2961194557441).

It is a tau number, because it is divible by the number of its divisors (896).

It is not an unprimeable number, because it can be changed into a prime (2961194557441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3598048869 + ... + 3598049691.

Almost surely, 2^{2961194557440} is an apocalyptic number.

2961194557440 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 2961194557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5598550794240).

2961194557440 is an abundant number, since it is smaller than the sum of its proper divisors (8235907031040).

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

2961194557440 is an equidigital number, since it uses as much as digits as its factorization.

2961194557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 2961194557440 in words is "two trillion, nine hundred sixty-one billion, one hundred ninety-four million, five hundred fifty-seven thousand, four hundred forty".