211520040 has 64 divisors (see below), whose sum is σ = 635990400. Its totient is φ = 56278272.

The previous prime is 211520033. The next prime is 211520041. The reversal of 211520040 is 40025112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (211520041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59349 + ... + 62811.

It is an arithmetic number, because the mean of its divisors is an integer number (9937350).

Almost surely, 2^211520040 is an apocalyptic number.

211520040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211520040 is an abundant number, since it is smaller than the sum of its proper divisors (424470360).

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

211520040 is a wasteful number, since it uses less digits than its factorization.

211520040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3986 (or 3982 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 211520040 is about 14543.7285453215. The cubic root of 211520040 is about 595.8228757626.

Adding to 211520040 its reverse (40025112), we get a palindrome (251545152).

It can be divided in two parts, 2115 and 20040, that added together give a triangular number (22155 = T₂₁₀).

The spelling of 211520040 in words is "two hundred eleven million, five hundred twenty thousand, forty".