2961610390488 has 256 divisors, whose sum is σ = 7972769710080. Its totient is φ = 915033600000.

The previous prime is 2961610390439. The next prime is 2961610390507. The reversal of 2961610390488 is 8840930161692.

It is a Cunningham number, because it is equal to 1720933²-1.

It is a super-2 number, since 2×2961610390488² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1259722513 + ... + 1259724863.

It is an arithmetic number, because the mean of its divisors is an integer number (31143631680).

Almost surely, 2^{2961610390488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2961610390488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3986384855040).

2961610390488 is an abundant number, since it is smaller than the sum of its proper divisors (5011159319592).

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

2961610390488 is a wasteful number, since it uses less digits than its factorization.

2961610390488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 57.

The spelling of 2961610390488 in words is "two trillion, nine hundred sixty-one billion, six hundred ten million, three hundred ninety thousand, four hundred eighty-eight".