2542646519640 has 640 divisors, whose sum is σ = 9099817344000. Its totient is φ = 631213837056.

The previous prime is 2542646519573. The next prime is 2542646519641. The reversal of 2542646519640 is 469156462452.

2542646519640 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 64 + 6 + 519 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2542646519641) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14204729071 + ... + 14204729249.

It is an arithmetic number, because the mean of its divisors is an integer number (14218464600).

Almost surely, 2^{2542646519640} is an apocalyptic number.

2542646519640 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 2542646519640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4549908672000).

2542646519640 is an abundant number, since it is smaller than the sum of its proper divisors (6557170824360).

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

2542646519640 is an equidigital number, since it uses as much as digits as its factorization.

2542646519640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 2542646519640 in words is "two trillion, five hundred forty-two billion, six hundred forty-six million, five hundred nineteen thousand, six hundred forty".