2057544562752 has 448 divisors, whose sum is σ = 7018126151680. Its totient is φ = 578982297600.

The previous prime is 2057544562721. The next prime is 2057544562811. The reversal of 2057544562752 is 2572654457502.

2057544562752 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 5 + 4 + 4 + 5 + 627 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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

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, 247564677 + ... + 247572987.

It is an arithmetic number, because the mean of its divisors is an integer number (15665460160).

Almost surely, 2^{2057544562752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2057544562752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3509063075840).

2057544562752 is an abundant number, since it is smaller than the sum of its proper divisors (4960581588928).

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

2057544562752 is a wasteful number, since it uses less digits than its factorization.

2057544562752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8647 (or 8631 counting only the distinct ones).

The product of its (nonzero) digits is 23520000, while the sum is 54.

The spelling of 2057544562752 in words is "two trillion, fifty-seven billion, five hundred forty-four million, five hundred sixty-two thousand, seven hundred fifty-two".