2540951340 has 96 divisors (see below), whose sum is σ = 7274909376. Its totient is φ = 662461440.

The previous prime is 2540951327. The next prime is 2540951341. The reversal of 2540951340 is 431590452.

It is not an unprimeable number, because it can be changed into a prime (2540951341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 631174 + ... + 635186.

It is an arithmetic number, because the mean of its divisors is an integer number (75780306).

Almost surely, 2^2540951340 is an apocalyptic number.

2540951340 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 2540951340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3637454688).

2540951340 is an abundant number, since it is smaller than the sum of its proper divisors (4733958036).

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

2540951340 is a wasteful number, since it uses less digits than its factorization.

2540951340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4259 (or 4257 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 2540951340 is about 50407.8499839063. The cubic root of 2540951340 is about 1364.5793119184.

The spelling of 2540951340 in words is "two billion, five hundred forty million, nine hundred fifty-one thousand, three hundred forty".