2016454440 has 256 divisors, whose sum is σ = 8122705920. Its totient is φ = 386749440.

The previous prime is 2016454411. The next prime is 2016454469. The reversal of 2016454440 is 444546102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2016454411) and next prime (2016454469).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2016454398 and 2016454407.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 111727 + ... + 128513.

It is an arithmetic number, because the mean of its divisors is an integer number (31729320).

Almost surely, 2^2016454440 is an apocalyptic number.

2016454440 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 2016454440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4061352960).

2016454440 is an abundant number, since it is smaller than the sum of its proper divisors (6106251480).

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

2016454440 is a wasteful number, since it uses less digits than its factorization.

2016454440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16832 (or 16828 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 2016454440 is about 44904.9489477496. The cubic root of 2016454440 is about 1263.3668332483.

The spelling of 2016454440 in words is "two billion, sixteen million, four hundred fifty-four thousand, four hundred forty".