2540261640 has 288 divisors, whose sum is σ = 9145725120. Its totient is φ = 552918528.

The previous prime is 2540261629. The next prime is 2540261681. The reversal of 2540261640 is 461620452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2540261598 and 2540261607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54048097 + ... + 54048143.

It is an arithmetic number, because the mean of its divisors is an integer number (31755990).

Almost surely, 2^2540261640 is an apocalyptic number.

2540261640 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 2540261640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572862560).

2540261640 is an abundant number, since it is smaller than the sum of its proper divisors (6605463480).

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

2540261640 is a wasteful number, since it uses less digits than its factorization.

2540261640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2540261640 is about 50401.0083232469. The cubic root of 2540261640 is about 1364.4558364439.

The spelling of 2540261640 in words is "two billion, five hundred forty million, two hundred sixty-one thousand, six hundred forty".