2041753265136 has 240 divisors, whose sum is σ = 6278388532416. Its totient is φ = 615526539264.

The previous prime is 2041753265077. The next prime is 2041753265171. The reversal of 2041753265136 is 6315623571402.

2041753265136 is a `hidden beast` number, since 2 + 0 + 41 + 7 + 532 + 65 + 13 + 6 = 666.

It is a super-2 number, since 2×2041753265136² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2041753265091 and 2041753265100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73703640 + ... + 73731336.

Almost surely, 2^{2041753265136} is an apocalyptic number.

2041753265136 is a gapful number since it is divisible by the number (26) 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 2041753265136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3139194266208).

2041753265136 is an abundant number, since it is smaller than the sum of its proper divisors (4236635267280).

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

2041753265136 is a wasteful number, since it uses less digits than its factorization.

2041753265136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28520 (or 28511 counting only the distinct ones).

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

The spelling of 2041753265136 in words is "two trillion, forty-one billion, seven hundred fifty-three million, two hundred sixty-five thousand, one hundred thirty-six".