2740710000 has 400 divisors, whose sum is σ = 10462251008. Its totient is φ = 604800000.

The previous prime is 2740709981. The next prime is 2740710059. The reversal of 2740710000 is 170472.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×2740710000² = 15022982608200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6509790 + ... + 6510210.

Almost surely, 2^2740710000 is an apocalyptic number.

2740710000 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 2740710000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5231125504).

2740710000 is an abundant number, since it is smaller than the sum of its proper divisors (7721541008).

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

2740710000 is a wasteful number, since it uses less digits than its factorization.

2740710000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 2740710000 is about 52351.7908003155. The cubic root of 2740710000 is about 1399.4402524222.

Adding to 2740710000 its reverse (170472), we get a palindrome (2740880472).

The spelling of 2740710000 in words is "two billion, seven hundred forty million, seven hundred ten thousand".