2723778624 has 224 divisors, whose sum is σ = 8817742080. Its totient is φ = 724303872.

The previous prime is 2723778613. The next prime is 2723778647. The reversal of 2723778624 is 4268773272.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2215642 + ... + 2216870.

It is an arithmetic number, because the mean of its divisors is an integer number (39364920).

Almost surely, 2^2723778624 is an apocalyptic number.

2723778624 is a gapful number since it is divisible by the number (24) 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 2723778624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4408871040).

2723778624 is an abundant number, since it is smaller than the sum of its proper divisors (6093963456).

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

2723778624 is a wasteful number, since it uses less digits than its factorization.

2723778624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1355 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 48.

The square root of 2723778624 is about 52189.8325730213. The cubic root of 2723778624 is about 1396.5525080153.

The spelling of 2723778624 in words is "two billion, seven hundred twenty-three million, seven hundred seventy-eight thousand, six hundred twenty-four".