216019440 has 480 divisors, whose sum is σ = 938064960. Its totient is φ = 45287424.

The previous prime is 216019429. The next prime is 216019451. The reversal of 216019440 is 44910612.

216019440 = T₃₁₅ + T₃₁₆ + ... + T₁₀₉₈.

216019440 is a `hidden beast` number, since 216 + 0 + 1 + 9 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (216019429) and next prime (216019451).

It is a Harshad number since it is a multiple of its sum of digits (27).

216019440 is a modest number, since divided by 19440 gives 2160 as remainder.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1375842 + ... + 1375998.

It is an arithmetic number, because the mean of its divisors is an integer number (1954302).

Almost surely, 2^216019440 is an apocalyptic number.

216019440 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 216019440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469032480).

216019440 is an abundant number, since it is smaller than the sum of its proper divisors (722045520).

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

216019440 is a wasteful number, since it uses less digits than its factorization.

216019440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 216019440 is about 14697.5998040496. The cubic root of 216019440 is about 600.0179994600.

It can be divided in two parts, 2160 and 19440, that multiplied together give a square (41990400 = 6480²).

The spelling of 216019440 in words is "two hundred sixteen million, nineteen thousand, four hundred forty".