2738260240 has 80 divisors (see below), whose sum is σ = 6711624000. Its totient is φ = 1036094976.

The previous prime is 2738260207. The next prime is 2738260267. The reversal of 2738260240 is 420628372.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 2738260196 and 2738260205.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1766986 + ... + 1768534.

It is an arithmetic number, because the mean of its divisors is an integer number (83895300).

Almost surely, 2^2738260240 is an apocalyptic number.

2738260240 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 2738260240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355812000).

2738260240 is an abundant number, since it is smaller than the sum of its proper divisors (3973363760).

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

2738260240 is a wasteful number, since it uses less digits than its factorization.

2738260240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2738 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 2738260240 is about 52328.3884712686. The cubic root of 2738260240 is about 1399.0231689280.

The spelling of 2738260240 in words is "two billion, seven hundred thirty-eight million, two hundred sixty thousand, two hundred forty".