2807725440 has 384 divisors, whose sum is σ = 10281232800. Its totient is φ = 649199616.

The previous prime is 2807725439. The next prime is 2807725493. The reversal of 2807725440 is 445277082.

2807725440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

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, 5515906 + ... + 5516414.

Almost surely, 2^2807725440 is an apocalyptic number.

2807725440 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 2807725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140616400).

2807725440 is an abundant number, since it is smaller than the sum of its proper divisors (7473507360).

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

2807725440 is a wasteful number, since it uses less digits than its factorization.

2807725440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 2807725440 is about 52987.9744847829. The cubic root of 2807725440 is about 1410.7548294776.

The spelling of 2807725440 in words is "two billion, eight hundred seven million, seven hundred twenty-five thousand, four hundred forty".