2572019448768 has 1568 divisors, whose sum is σ = 10260909120000. Its totient is φ = 632073093120.

The previous prime is 2572019448737. The next prime is 2572019448793. The reversal of 2572019448768 is 8678449102752.

It is a happy number.

2572019448768 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 0 + 1 + 94 + 487 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1568).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 3344628288 + ... + 3344629056.

Almost surely, 2^{2572019448768} is an apocalyptic number.

2572019448768 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 2572019448768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130454560000).

2572019448768 is an abundant number, since it is smaller than the sum of its proper divisors (7688889671232).

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

2572019448768 is an equidigital number, since it uses as much as digits as its factorization.

2572019448768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 2572019448768 in words is "two trillion, five hundred seventy-two billion, nineteen million, four hundred forty-eight thousand, seven hundred sixty-eight".