2540466768000 has 1024 divisors, whose sum is σ = 9948284236800. Its totient is φ = 561364992000.

The previous prime is 2540466767939. The next prime is 2540466768113. The reversal of 2540466768000 is 8676640452.

2540466768000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2250191436 + ... + 2250192564.

It is an arithmetic number, because the mean of its divisors is an integer number (9715121325).

Almost surely, 2^{2540466768000} is an apocalyptic number.

2540466768000 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 2540466768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974142118400).

2540466768000 is an abundant number, since it is smaller than the sum of its proper divisors (7407817468800).

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

2540466768000 is a wasteful number, since it uses less digits than its factorization.

2540466768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 2540466768000 in words is "two trillion, five hundred forty billion, four hundred sixty-six million, seven hundred sixty-eight thousand".