2154040511 has 16 divisors (see below), whose sum is σ = 2550450240. Its totient is φ = 1779993600.

The previous prime is 2154040489. The next prime is 2154040541. The reversal of 2154040511 is 1150404512.

It is not a de Polignac number, because 2154040511 - 2¹⁰ = 2154039487 is a prime.

It is a super-2 number, since 2×2154040511² = 9279781046058282242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154040541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 134735 + ... + 149871.

It is an arithmetic number, because the mean of its divisors is an integer number (159403140).

Almost surely, 2^2154040511 is an apocalyptic number.

2154040511 is a deficient number, since it is larger than the sum of its proper divisors (396409729).

2154040511 is a wasteful number, since it uses less digits than its factorization.

2154040511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15874.

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 2154040511 is about 46411.6419769868. The cubic root of 2154040511 is about 1291.4708921701.

The spelling of 2154040511 in words is "two billion, one hundred fifty-four million, forty thousand, five hundred eleven".