2540477280 has 576 divisors, whose sum is σ = 9729828864. Its totient is φ = 554188800.

The previous prime is 2540477273. The next prime is 2540477287. The reversal of 2540477280 is 827740452.

2540477280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2540477273) and next prime (2540477287).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540477287) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30608119 + ... + 30608201.

It is an arithmetic number, because the mean of its divisors is an integer number (16892064).

Almost surely, 2^2540477280 is an apocalyptic number.

2540477280 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 2540477280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4864914432).

2540477280 is an abundant number, since it is smaller than the sum of its proper divisors (7189351584).

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

2540477280 is a wasteful number, since it uses less digits than its factorization.

2540477280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

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

The square root of 2540477280 is about 50403.1475207650. The cubic root of 2540477280 is about 1364.4944444002.

The spelling of 2540477280 in words is "two billion, five hundred forty million, four hundred seventy-seven thousand, two hundred eighty".