2671688895120 has 400 divisors, whose sum is σ = 10970454274560. Its totient is φ = 589613810688.

The previous prime is 2671688895107. The next prime is 2671688895121. The reversal of 2671688895120 is 215988861762.

2671688895120 is a `hidden beast` number, since 26 + 7 + 16 + 8 + 8 + 89 + 512 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2671688895121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 299929 + ... + 2330951.

Almost surely, 2^{2671688895120} is an apocalyptic number.

2671688895120 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 2671688895120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5485227137280).

2671688895120 is an abundant number, since it is smaller than the sum of its proper divisors (8298765379440).

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

2671688895120 is a wasteful number, since it uses less digits than its factorization.

2671688895120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2031084 (or 2031069 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 2671688895120 in words is "two trillion, six hundred seventy-one billion, six hundred eighty-eight million, eight hundred ninety-five thousand, one hundred twenty".