2754400000 has 216 divisors, whose sum is σ = 7520799888. Its totient is φ = 998400000.

The previous prime is 2754399943. The next prime is 2754400001. The reversal of 2754400000 is 44572.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2754400001) 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, 8799844 + ... + 8800156.

It is an arithmetic number, because the mean of its divisors is an integer number (34818518).

Almost surely, 2^2754400000 is an apocalyptic number.

2754400000 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 2754400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3760399944).

2754400000 is an abundant number, since it is smaller than the sum of its proper divisors (4766399888).

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

2754400000 is an frugal number, since it uses more digits than its factorization.

2754400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 2754400000 is about 52482.3779949042. The cubic root of 2754400000 is about 1401.7664776575.

Adding to 2754400000 its reverse (44572), we get a palindrome (2754444572).

The spelling of 2754400000 in words is "two billion, seven hundred fifty-four million, four hundred thousand".