2671761456 has 640 divisors, whose sum is σ = 10277120000. Its totient is φ = 658409472.

The previous prime is 2671761419. The next prime is 2671761481. The reversal of 2671761456 is 6541671762.

2671761456 is a `hidden beast` number, since 26 + 7 + 1 + 7 + 614 + 5 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 36599436 + ... + 36599508.

It is an arithmetic number, because the mean of its divisors is an integer number (16058000).

Almost surely, 2^2671761456 is an apocalyptic number.

2671761456 is a gapful number since it is divisible by the number (26) 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 2671761456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138560000).

2671761456 is an abundant number, since it is smaller than the sum of its proper divisors (7605358544).

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

2671761456 is a wasteful number, since it uses less digits than its factorization.

2671761456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 117 counting only the distinct ones).

The product of its digits is 423360, while the sum is 45.

The square root of 2671761456 is about 51689.0844956650. The cubic root of 2671761456 is about 1387.6051192820.

The spelling of 2671761456 in words is "two billion, six hundred seventy-one million, seven hundred sixty-one thousand, four hundred fifty-six".