2081677469760 has 672 divisors, whose sum is σ = 8343462746112. Its totient is φ = 466530140160.

The previous prime is 2081677469759. The next prime is 2081677469819. The reversal of 2081677469760 is 679647761802.

2081677469760 is a `hidden beast` number, since 2 + 0 + 8 + 167 + 7 + 469 + 7 + 6 + 0 = 666.

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

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

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, 414426609 + ... + 414431631.

Almost surely, 2^{2081677469760} is an apocalyptic number.

2081677469760 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 2081677469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4171731373056).

2081677469760 is an abundant number, since it is smaller than the sum of its proper divisors (6261785276352).

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

2081677469760 is a wasteful number, since it uses less digits than its factorization.

2081677469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5451 (or 5438 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 63.

The spelling of 2081677469760 in words is "two trillion, eighty-one billion, six hundred seventy-seven million, four hundred sixty-nine thousand, seven hundred sixty".