2540064211776 has 448 divisors, whose sum is σ = 9271942848000. Its totient is φ = 663974019072.

The previous prime is 2540064211771. The next prime is 2540064211799. The reversal of 2540064211776 is 6771124600452.

2540064211776 is a `hidden beast` number, since 2 + 5 + 400 + 64 + 2 + 117 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540064211771) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17697550 + ... + 17840498.

It is an arithmetic number, because the mean of its divisors is an integer number (20696301000).

Almost surely, 2^{2540064211776} is an apocalyptic number.

2540064211776 is a gapful number since it is divisible by the number (26) 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 2540064211776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4635971424000).

2540064211776 is an abundant number, since it is smaller than the sum of its proper divisors (6731878636224).

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

2540064211776 is a wasteful number, since it uses less digits than its factorization.

2540064211776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143103 (or 143087 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 2540064211776 in words is "two trillion, five hundred forty billion, sixty-four million, two hundred eleven thousand, seven hundred seventy-six".