2744940900 has 144 divisors (see below), whose sum is σ = 8609351744. Its totient is φ = 671224320.

The previous prime is 2744940883. The next prime is 2744940929. The reversal of 2744940900 is 90494472.

It is a happy number.

2744940900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 610059 + ... + 614541.

Almost surely, 2^2744940900 is an apocalyptic number.

2744940900 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 2744940900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304675872).

2744940900 is an abundant number, since it is smaller than the sum of its proper divisors (5864410844).

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

2744940900 is a wasteful number, since it uses less digits than its factorization.

2744940900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4670 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 2744940900 is about 52392.1835773238. The cubic root of 2744940900 is about 1400.1599987207.

The spelling of 2744940900 in words is "two billion, seven hundred forty-four million, nine hundred forty thousand, nine hundred".