2540607762 has 192 divisors, whose sum is σ = 6855321600. Its totient is φ = 618952320.

The previous prime is 2540607749. The next prime is 2540607787. The reversal of 2540607762 is 2677060452.

It is a happy number.

2540607762 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2540607762.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10630039 + ... + 10630277.

It is an arithmetic number, because the mean of its divisors is an integer number (35704800).

Almost surely, 2^2540607762 is an apocalyptic number.

2540607762 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2540607762, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427660800).

2540607762 is an abundant number, since it is smaller than the sum of its proper divisors (4314713838).

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

2540607762 is a wasteful number, since it uses less digits than its factorization.

2540607762 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 2540607762 is about 50404.4418875956. The cubic root of 2540607762 is about 1364.5178046978.

The spelling of 2540607762 in words is "two billion, five hundred forty million, six hundred seven thousand, seven hundred sixty-two".