2671971840 has 640 divisors, whose sum is σ = 10370764800. Its totient is φ = 650280960.

The previous prime is 2671971833. The next prime is 2671971851. The reversal of 2671971840 is 481791762.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62138859 + ... + 62138901.

It is an arithmetic number, because the mean of its divisors is an integer number (16204320).

Almost surely, 2^2671971840 is an apocalyptic number.

2671971840 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 2671971840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5185382400).

2671971840 is an abundant number, since it is smaller than the sum of its proper divisors (7698792960).

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

2671971840 is a wasteful number, since it uses less digits than its factorization.

2671971840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 2671971840 is about 51691.1195467848. The cubic root of 2671971840 is about 1387.6415399802.

The spelling of 2671971840 in words is "two billion, six hundred seventy-one million, nine hundred seventy-one thousand, eight hundred forty".