2738565720 has 256 divisors, whose sum is σ = 10124352000. Its totient is φ = 652838400.

The previous prime is 2738565719. The next prime is 2738565721. The reversal of 2738565720 is 275658372.

2738565720 is a `hidden beast` number, since 2 + 73 + 8 + 5 + 6 + 572 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2738565719) and next prime (2738565721).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2738565721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 722791 + ... + 726569.

It is an arithmetic number, because the mean of its divisors is an integer number (39548250).

Almost surely, 2^2738565720 is an apocalyptic number.

2738565720 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 2738565720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5062176000).

2738565720 is an abundant number, since it is smaller than the sum of its proper divisors (7385786280).

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

2738565720 is a wasteful number, since it uses less digits than its factorization.

2738565720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871 (or 3861 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The square root of 2738565720 is about 52331.3072643900. The cubic root of 2738565720 is about 1399.0751919485.

The spelling of 2738565720 in words is "two billion, seven hundred thirty-eight million, five hundred sixty-five thousand, seven hundred twenty".