2700457440 has 96 divisors (see below), whose sum is σ = 8586103680. Its totient is φ = 713378304.

The previous prime is 2700457433. The next prime is 2700457457. The reversal of 2700457440 is 447540072.

2700457440 is digitally balanced in base 2 and base 4, because in such bases 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 (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25071 + ... + 77649.

It is an arithmetic number, because the mean of its divisors is an integer number (89438580).

Almost surely, 2^2700457440 is an apocalyptic number.

2700457440 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 2700457440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4293051840).

2700457440 is an abundant number, since it is smaller than the sum of its proper divisors (5885646240).

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

2700457440 is a wasteful number, since it uses less digits than its factorization.

2700457440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52704 (or 52696 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 2700457440 is about 51965.9257590972. The cubic root of 2700457440 is about 1392.5552844727. Note that the first 3 decimals are identical.

The spelling of 2700457440 in words is "two billion, seven hundred million, four hundred fifty-seven thousand, four hundred forty".