2540777100 has 72 divisors (see below), whose sum is σ = 7369142928. Its totient is φ = 675897600.

The previous prime is 2540777051. The next prime is 2540777111. The reversal of 2540777100 is 17770452.

It is a happy number.

2540777100 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116242 + ... + 136358.

Almost surely, 2^2540777100 is an apocalyptic number.

2540777100 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 2540777100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3684571464).

2540777100 is an abundant number, since it is smaller than the sum of its proper divisors (4828365828).

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

2540777100 is a wasteful number, since it uses less digits than its factorization.

2540777100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20555 (or 20548 counting only the distinct ones).

The product of its (nonzero) digits is 13720, while the sum is 33.

The square root of 2540777100 is about 50406.1216520375. The cubic root of 2540777100 is about 1364.5481202239.

The spelling of 2540777100 in words is "two billion, five hundred forty million, seven hundred seventy-seven thousand, one hundred".