2640000005136 has 560 divisors, whose sum is σ = 8480833580800. Its totient is φ = 790776649728.

The previous prime is 2640000005101. The next prime is 2640000005143. The reversal of 2640000005136 is 6315000000462.

2640000005136 is a `hidden beast` number, since 2 + 640 + 0 + 0 + 0 + 0 + 0 + 5 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 874460235 + ... + 874463253.

It is an arithmetic number, because the mean of its divisors is an integer number (15144345680).

Almost surely, 2^{2640000005136} is an apocalyptic number.

2640000005136 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 2640000005136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240416790400).

2640000005136 is an abundant number, since it is smaller than the sum of its proper divisors (5840833575664).

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

2640000005136 is a wasteful number, since it uses less digits than its factorization.

2640000005136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3210 (or 3189 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 2640000005136 its reverse (6315000000462), we get a palindrome (8955000005598).

The spelling of 2640000005136 in words is "two trillion, six hundred forty billion, five thousand, one hundred thirty-six".