2411005153140 has 144 divisors (see below), whose sum is σ = 7707481891200. Its totient is φ = 608369336064.

The previous prime is 2411005153133. The next prime is 2411005153181. The reversal of 2411005153140 is 413515001142.

2411005153140 is a `hidden beast` number, since 2 + 4 + 1 + 1 + 0 + 0 + 515 + 3 + 140 = 666.

2411005153140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2449254 + ... + 3289506.

It is an arithmetic number, because the mean of its divisors is an integer number (53524179800).

Almost surely, 2^{2411005153140} is an apocalyptic number.

2411005153140 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 2411005153140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3853740945600).

2411005153140 is an abundant number, since it is smaller than the sum of its proper divisors (5296476738060).

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

2411005153140 is a wasteful number, since it uses less digits than its factorization.

2411005153140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841126 (or 841121 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 2411005153140 in words is "two trillion, four hundred eleven billion, five million, one hundred fifty-three thousand, one hundred forty".