2661683771520 has 192 divisors, whose sum is σ = 9192905317440. Its totient is φ = 709644994560.

The previous prime is 2661683771503. The next prime is 2661683771531. The reversal of 2661683771520 is 251773861662.

2661683771520 is a `hidden beast` number, since 2 + 6 + 6 + 16 + 8 + 37 + 71 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×2661683771520² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31678365 + ... + 31762275.

It is an arithmetic number, because the mean of its divisors is an integer number (47879715195).

Almost surely, 2^{2661683771520} is an apocalyptic number.

2661683771520 is a gapful number since it is divisible by the number (20) 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 2661683771520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596452658720).

2661683771520 is an abundant number, since it is smaller than the sum of its proper divisors (6531221545920).

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

2661683771520 is a wasteful number, since it uses less digits than its factorization.

2661683771520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89443 (or 89428 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 2661683771520 in words is "two trillion, six hundred sixty-one billion, six hundred eighty-three million, seven hundred seventy-one thousand, five hundred twenty".