2961388213056 has 336 divisors, whose sum is σ = 10906337628480. Its totient is φ = 781025172480.

The previous prime is 2961388213039. The next prime is 2961388213073. The reversal of 2961388213056 is 6503128831692.

2961388213056 is a `hidden beast` number, since 2 + 9 + 613 + 8 + 8 + 2 + 13 + 0 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (2961388213039) and next prime (2961388213073).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2961388212993 and 2961388213011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 244450 + ... + 2445921.

It is an arithmetic number, because the mean of its divisors is an integer number (32459338180).

Almost surely, 2^{2961388213056} is an apocalyptic number.

2961388213056 is a gapful number since it is divisible by the number (26) 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 2961388213056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5453168814240).

2961388213056 is an abundant number, since it is smaller than the sum of its proper divisors (7944949415424).

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

2961388213056 is a wasteful number, since it uses less digits than its factorization.

2961388213056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690419 (or 2690396 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 2961388213056 in words is "two trillion, nine hundred sixty-one billion, three hundred eighty-eight million, two hundred thirteen thousand, fifty-six".