2053719982080 has 1104 divisors, whose sum is σ = 8207681524224. Its totient is φ = 489223618560.

The previous prime is 2053719982079. The next prime is 2053719982081. The reversal of 2053719982080 is 802899173502.

2053719982080 is a `hidden beast` number, since 2 + 0 + 537 + 1 + 9 + 9 + 8 + 20 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (2053719982079) and next prime (2053719982081).

It is a super-2 number, since 2×2053719982080² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053719982081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66249031665 + ... + 66249031695.

Almost surely, 2^{2053719982080} is an apocalyptic number.

2053719982080 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 2053719982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4103840762112).

2053719982080 is an abundant number, since it is smaller than the sum of its proper divisors (6153961542144).

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

2053719982080 is an frugal number, since it uses more digits than its factorization.

2053719982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 2053719982080 in words is "two trillion, fifty-three billion, seven hundred nineteen million, nine hundred eighty-two thousand, eighty".