2738868720 has 280 divisors, whose sum is σ = 10007682384. Its totient is φ = 619573248.

The previous prime is 2738868709. The next prime is 2738868731. The reversal of 2738868720 is 278688372.

It is an interprime number because it is at equal distance from previous prime (2738868709) and next prime (2738868731).

It is a tau number, because it is divible by the number of its divisors (280).

It is a super-3 number, since 3×2738868720³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 28235712 + ... + 28235808.

Almost surely, 2^2738868720 is an apocalyptic number.

2738868720 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 2738868720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5003841192).

2738868720 is an abundant number, since it is smaller than the sum of its proper divisors (7268813664).

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

2738868720 is an frugal number, since it uses more digits than its factorization.

2738868720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 51.

The square root of 2738868720 is about 52334.2022008552. The cubic root of 2738868720 is about 1399.1267888053.

The spelling of 2738868720 in words is "two billion, seven hundred thirty-eight million, eight hundred sixty-eight thousand, seven hundred twenty".