2961807988468 has 192 divisors, whose sum is σ = 6474197237760. Its totient is φ = 1157466022272.

The previous prime is 2961807988453. The next prime is 2961807988493. The reversal of 2961807988468 is 8648897081692.

2961807988468 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a junction number, because it is equal to n+sod(n) for n = 2961807988394 and 2961807988403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 471097221 + ... + 471103507.

It is an arithmetic number, because the mean of its divisors is an integer number (33719777280).

Almost surely, 2^{2961807988468} is an apocalyptic number.

2961807988468 is a gapful number since it is divisible by the number (28) 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 2961807988468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3237098618880).

2961807988468 is an abundant number, since it is smaller than the sum of its proper divisors (3512389249292).

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

2961807988468 is a wasteful number, since it uses less digits than its factorization.

2961807988468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6674 (or 6672 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 76.

The spelling of 2961807988468 in words is "two trillion, nine hundred sixty-one billion, eight hundred seven million, nine hundred eighty-eight thousand, four hundred sixty-eight".