2053661077440 has 1344 divisors, whose sum is σ = 8463781497600. Its totient is φ = 456713994240.

The previous prime is 2053661077421. The next prime is 2053661077483. The reversal of 2053661077440 is 447701663502.

2053661077440 is a `hidden beast` number, since 2 + 0 + 536 + 6 + 1 + 0 + 7 + 74 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 10424675422 + ... + 10424675618.

Almost surely, 2^{2053661077440} is an apocalyptic number.

2053661077440 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 2053661077440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4231890748800).

2053661077440 is an abundant number, since it is smaller than the sum of its proper divisors (6410120420160).

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

2053661077440 is a wasteful number, since it uses less digits than its factorization.

2053661077440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 2053661077440 in words is "two trillion, fifty-three billion, six hundred sixty-one million, seventy-seven thousand, four hundred forty".