2540001262848 has 576 divisors, whose sum is σ = 8490063052800. Its totient is φ = 657792368640.

The previous prime is 2540001262793. The next prime is 2540001262859. The reversal of 2540001262848 is 8482621000452.

It is a super-2 number, since 2×2540001262848² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281810790 + ... + 281819802.

It is an arithmetic number, because the mean of its divisors is an integer number (14739692800).

Almost surely, 2^{2540001262848} is an apocalyptic number.

2540001262848 is a gapful number since it is divisible by the number (28) 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 2540001262848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245031526400).

2540001262848 is an abundant number, since it is smaller than the sum of its proper divisors (5950061789952).

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

2540001262848 is a wasteful number, since it uses less digits than its factorization.

2540001262848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9178 (or 9164 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The spelling of 2540001262848 in words is "two trillion, five hundred forty billion, one million, two hundred sixty-two thousand, eight hundred forty-eight".