2540833626240 has 2048 divisors, whose sum is σ = 11686477824000. Its totient is φ = 507298775040.

The previous prime is 2540833626239. The next prime is 2540833626251. The reversal of 2540833626240 is 426263380452.

2540833626240 is a `hidden beast` number, since 2 + 5 + 40 + 8 + 3 + 362 + 6 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 2291102806 + ... + 2291103914.

It is an arithmetic number, because the mean of its divisors is an integer number (5706288000).

Almost surely, 2^{2540833626240} is an apocalyptic number.

2540833626240 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 2540833626240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5843238912000).

2540833626240 is an abundant number, since it is smaller than the sum of its proper divisors (9145644197760).

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

2540833626240 is a wasteful number, since it uses less digits than its factorization.

2540833626240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 2540833626240 in words is "two trillion, five hundred forty billion, eight hundred thirty-three million, six hundred twenty-six thousand, two hundred forty".