2540351133024 has 96 divisors (see below), whose sum is σ = 6757211704320. Its totient is φ = 835522701312.

The previous prime is 2540351132993. The next prime is 2540351133059. The reversal of 2540351133024 is 4203311530452.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11670109 + ... + 11885795.

It is an arithmetic number, because the mean of its divisors is an integer number (70387621920).

Almost surely, 2^{2540351133024} is an apocalyptic number.

2540351133024 is a gapful number since it is divisible by the number (24) 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 2540351133024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3378605852160).

2540351133024 is an abundant number, since it is smaller than the sum of its proper divisors (4216860571296).

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

2540351133024 is a wasteful number, since it uses less digits than its factorization.

2540351133024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217332 (or 217324 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 2540351133024 its reverse (4203311530452), we get a palindrome (6743662663476).

The spelling of 2540351133024 in words is "two trillion, five hundred forty billion, three hundred fifty-one million, one hundred thirty-three thousand, twenty-four".