2746600000 has 168 divisors, whose sum is σ = 7048048896. Its totient is φ = 1060800000.

The previous prime is 2746599991. The next prime is 2746600009. The reversal of 2746600000 is 66472.

It is an interprime number because it is at equal distance from previous prime (2746599991) and next prime (2746600009).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2746600009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6199779 + ... + 6200221.

It is an arithmetic number, because the mean of its divisors is an integer number (41952672).

Almost surely, 2^2746600000 is an apocalyptic number.

2746600000 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 2746600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3524024448).

2746600000 is an abundant number, since it is smaller than the sum of its proper divisors (4301448896).

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

2746600000 is an frugal number, since it uses more digits than its factorization.

2746600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 2746600000 is about 52408.0146542492. The cubic root of 2746600000 is about 1400.4420372868.

Adding to 2746600000 its reverse (66472), we get a palindrome (2746666472).

The spelling of 2746600000 in words is "two billion, seven hundred forty-six million, six hundred thousand".