2616581947392 has 672 divisors, whose sum is σ = 9024795727360. Its totient is φ = 743008370688.

The previous prime is 2616581947391. The next prime is 2616581947457. The reversal of 2616581947392 is 2937491856162.

2616581947392 is a `hidden beast` number, since 2 + 6 + 1 + 6 + 58 + 194 + 7 + 392 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×2616581947392² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2616581947391) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16052649903 + ... + 16052650065.

Almost surely, 2^{2616581947392} 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 2616581947392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4512397863680).

2616581947392 is an abundant number, since it is smaller than the sum of its proper divisors (6408213779968).

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

2616581947392 is an frugal number, since it uses more digits than its factorization.

2616581947392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 175 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The spelling of 2616581947392 in words is "two trillion, six hundred sixteen billion, five hundred eighty-one million, nine hundred forty-seven thousand, three hundred ninety-two".