2961400286208 has 352 divisors, whose sum is σ = 9721872057856. Its totient is φ = 780453937152.

The previous prime is 2961400286123. The next prime is 2961400286219. The reversal of 2961400286208 is 8026820041692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490051635 + ... + 490057677.

Almost surely, 2^{2961400286208} is an apocalyptic number.

2961400286208 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 2961400286208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860936028928).

2961400286208 is an abundant number, since it is smaller than the sum of its proper divisors (6760471771648).

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

2961400286208 is a wasteful number, since it uses less digits than its factorization.

2961400286208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7839 (or 7821 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 2961400286208 in words is "two trillion, nine hundred sixty-one billion, four hundred million, two hundred eighty-six thousand, two hundred eight".