2064374581248 has 768 divisors, whose sum is σ = 7322976460800. Its totient is φ = 561833902080.

The previous prime is 2064374581229. The next prime is 2064374581261. The reversal of 2064374581248 is 8421854734602.

2064374581248 is a `hidden beast` number, since 2 + 0 + 6 + 4 + 37 + 4 + 581 + 24 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×2064374581248³ (a number of 38 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2064374581194 and 2064374581203.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4104124165 + ... + 4104124667.

It is an arithmetic number, because the mean of its divisors is an integer number (9535125600).

Almost surely, 2^{2064374581248} is an apocalyptic number.

2064374581248 is a gapful number since it is divisible by the number (28) 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 2064374581248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3661488230400).

2064374581248 is an abundant number, since it is smaller than the sum of its proper divisors (5258601879552).

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

2064374581248 is a wasteful number, since it uses less digits than its factorization.

2064374581248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1025 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 2064374581248 in words is "two trillion, sixty-four billion, three hundred seventy-four million, five hundred eighty-one thousand, two hundred forty-eight".