2953028561616 has 480 divisors, whose sum is σ = 10591722086400. Its totient is φ = 777190422528.

The previous prime is 2953028561579. The next prime is 2953028561641. The reversal of 2953028561616 is 6161658203592.

2953028561616 is a `hidden beast` number, since 2 + 9 + 5 + 3 + 0 + 2 + 8 + 5 + 616 + 16 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21677685 + ... + 21813483.

It is an arithmetic number, because the mean of its divisors is an integer number (22066087680).

Almost surely, 2^{2953028561616} 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 2953028561616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5295861043200).

2953028561616 is an abundant number, since it is smaller than the sum of its proper divisors (7638693524784).

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

2953028561616 is a wasteful number, since it uses less digits than its factorization.

2953028561616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135893 (or 135875 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 2953028561616 in words is "two trillion, nine hundred fifty-three billion, twenty-eight million, five hundred sixty-one thousand, six hundred sixteen".