2640035198064 has 240 divisors, whose sum is σ = 7767245364480. Its totient is φ = 766208102400.

The previous prime is 2640035198063. The next prime is 2640035198077. The reversal of 2640035198064 is 4608915300462.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2640035198063) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49191757 + ... + 49245395.

It is an arithmetic number, because the mean of its divisors is an integer number (32363522352).

Almost surely, 2^{2640035198064} is an apocalyptic number.

2640035198064 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 2640035198064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883622682240).

2640035198064 is an abundant number, since it is smaller than the sum of its proper divisors (5127210166416).

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

2640035198064 is a wasteful number, since it uses less digits than its factorization.

2640035198064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53820 (or 53783 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 2640035198064 in words is "two trillion, six hundred forty billion, thirty-five million, one hundred ninety-eight thousand, sixty-four".