2054269440 has 240 divisors, whose sum is σ = 7171246368. Its totient is φ = 543449088.

The previous prime is 2054269397. The next prime is 2054269447. The reversal of 2054269440 is 449624502.

2054269440 is a `hidden beast` number, since 20 + 542 + 6 + 94 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2054269395 and 2054269404.

It is not an unprimeable number, because it can be changed into a prime (2054269447) 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 23 ways as a sum of consecutive naturals, for example, 3755247 + ... + 3755793.

Almost surely, 2^2054269440 is an apocalyptic number.

2054269440 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 2054269440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3585623184).

2054269440 is an abundant number, since it is smaller than the sum of its proper divisors (5116976928).

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

2054269440 is a wasteful number, since it uses less digits than its factorization.

2054269440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2054269440 is about 45324.0492454061. The cubic root of 2054269440 is about 1271.2153699056.

The spelling of 2054269440 in words is "two billion, fifty-four million, two hundred sixty-nine thousand, four hundred forty".