2650068368640 has 1440 divisors, whose sum is σ = 12445185392640. Its totient is φ = 521651404800.

The previous prime is 2650068368581. The next prime is 2650068368657. The reversal of 2650068368640 is 468638600562.

It is a happy number.

2650068368640 is a `hidden beast` number, since 2 + 6 + 500 + 68 + 36 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 151675105 + ... + 151692575.

It is an arithmetic number, because the mean of its divisors is an integer number (8642489856).

Almost surely, 2^{2650068368640} is an apocalyptic number.

2650068368640 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 2650068368640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6222592696320).

2650068368640 is an abundant number, since it is smaller than the sum of its proper divisors (9795117024000).

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

2650068368640 is a wasteful number, since it uses less digits than its factorization.

2650068368640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17541 (or 17518 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 2650068368640 in words is "two trillion, six hundred fifty billion, sixty-eight million, three hundred sixty-eight thousand, six hundred forty".