2053947456000 has 1600 divisors, whose sum is σ = 8434672646400. Its totient is φ = 492687360000.

The previous prime is 2053947455999. The next prime is 2053947456023. The reversal of 2053947456000 is 6547493502.

2053947456000 is a `hidden beast` number, since 2 + 0 + 5 + 39 + 4 + 7 + 4 + 5 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 10321343901 + ... + 10321344099.

It is an arithmetic number, because the mean of its divisors is an integer number (5271670404).

Almost surely, 2^{2053947456000} is an apocalyptic number.

2053947456000 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 2053947456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4217336323200).

2053947456000 is an abundant number, since it is smaller than the sum of its proper divisors (6380725190400).

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

2053947456000 is a wasteful number, since it uses less digits than its factorization.

2053947456000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 2053947456000 in words is "two trillion, fifty-three billion, nine hundred forty-seven million, four hundred fifty-six thousand".