2731771840 has 112 divisors (see below), whose sum is σ = 7456822272. Its totient is φ = 933774336.

The previous prime is 2731771829. The next prime is 2731771849. The reversal of 2731771840 is 481771372.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2731771793 and 2731771802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2731771849) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 820419 + ... + 823741.

Almost surely, 2^2731771840 is an apocalyptic number.

2731771840 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 2731771840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728411136).

2731771840 is an abundant number, since it is smaller than the sum of its proper divisors (4725050432).

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

2731771840 is a wasteful number, since it uses less digits than its factorization.

2731771840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3714 (or 3704 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 40.

The square root of 2731771840 is about 52266.3547609741. The cubic root of 2731771840 is about 1397.9172841278.

The spelling of 2731771840 in words is "two billion, seven hundred thirty-one million, seven hundred seventy-one thousand, eight hundred forty".