2723797440 has 672 divisors, whose sum is σ = 12159813120. Its totient is φ = 543449088.

The previous prime is 2723797387. The next prime is 2723797463. The reversal of 2723797440 is 447973272.

2723797440 is a `hidden beast` number, since 272 + 379 + 7 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4979247 + ... + 4979793.

It is an arithmetic number, because the mean of its divisors is an integer number (18094960).

Almost surely, 2^2723797440 is an apocalyptic number.

2723797440 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 2723797440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6079906560).

2723797440 is an abundant number, since it is smaller than the sum of its proper divisors (9436015680).

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

2723797440 is a wasteful number, since it uses less digits than its factorization.

2723797440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 45.

The square root of 2723797440 is about 52190.0128377068. The cubic root of 2723797440 is about 1396.5557238263. Note that the first 3 decimals are identical.

The spelling of 2723797440 in words is "two billion, seven hundred twenty-three million, seven hundred ninety-seven thousand, four hundred forty".