2541340064 has 96 divisors (see below), whose sum is σ = 5615341200. Its totient is φ = 1126236160.

The previous prime is 2541340057. The next prime is 2541340129. The reversal of 2541340064 is 4600431452.

2541340064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 508051600 + 2033288464 = 22540^2 + 45092^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 644852 + ... + 648780.

Almost surely, 2^2541340064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2541340064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2807670600).

2541340064 is an abundant number, since it is smaller than the sum of its proper divisors (3074001136).

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

2541340064 is a wasteful number, since it uses less digits than its factorization.

2541340064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4026 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 2541340064 is about 50411.7056247852. The cubic root of 2541340064 is about 1364.6488944763.

The spelling of 2541340064 in words is "two billion, five hundred forty-one million, three hundred forty thousand, sixty-four".