2064151703040 has 480 divisors, whose sum is σ = 7719331466880. Its totient is φ = 469155004416.

The previous prime is 2064151702993. The next prime is 2064151703087. The reversal of 2064151703040 is 403071514602.

It is an interprime number because it is at equal distance from previous prime (2064151702993) and next prime (2064151703087).

It is a tau number, because it is divible by the number of its divisors (480).

It is a junction number, because it is equal to n+sod(n) for n = 2064151702992 and 2064151703010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67345959 + ... + 67376601.

It is an arithmetic number, because the mean of its divisors is an integer number (16081940556).

Almost surely, 2^{2064151703040} is an apocalyptic number.

2064151703040 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 2064151703040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3859665733440).

2064151703040 is an abundant number, since it is smaller than the sum of its proper divisors (5655179763840).

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

2064151703040 is a wasteful number, since it uses less digits than its factorization.

2064151703040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30862 (or 30839 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 2064151703040 in words is "two trillion, sixty-four billion, one hundred fifty-one million, seven hundred three thousand, forty".