2740400000 has 384 divisors, whose sum is σ = 8031985920. Its totient is φ = 921600000.

The previous prime is 2740399997. The next prime is 2740400009. The reversal of 2740400000 is 40472.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2740400009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88399985 + ... + 88400015.

It is an arithmetic number, because the mean of its divisors is an integer number (20916630).

Almost surely, 2^2740400000 is an apocalyptic number.

2740400000 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 2740400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4015992960).

2740400000 is an abundant number, since it is smaller than the sum of its proper divisors (5291585920).

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

2740400000 is an equidigital number, since it uses as much as digits as its factorization.

2740400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 17.

The square root of 2740400000 is about 52348.8299773739. The cubic root of 2740400000 is about 1399.3874871611.

Adding to 2740400000 its reverse (40472), we get a palindrome (2740440472).

The spelling of 2740400000 in words is "two billion, seven hundred forty million, four hundred thousand".