2738661984 has 144 divisors (see below), whose sum is σ = 8019648000. Its totient is φ = 886152960.

The previous prime is 2738661943. The next prime is 2738662019. The reversal of 2738661984 is 4891668372.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2738661984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1369017 + ... + 1371015.

It is an arithmetic number, because the mean of its divisors is an integer number (55692000).

Almost surely, 2^2738661984 is an apocalyptic number.

2738661984 is a gapful number since it is divisible by the number (24) 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 2738661984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4009824000).

2738661984 is an abundant number, since it is smaller than the sum of its proper divisors (5280986016).

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

2738661984 is a wasteful number, since it uses less digits than its factorization.

2738661984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2142 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 2738661984 is about 52332.2270116608. The cubic root of 2738661984 is about 1399.0915848356.

The spelling of 2738661984 in words is "two billion, seven hundred thirty-eight million, six hundred sixty-one thousand, nine hundred eighty-four".