2240577144 has 192 divisors, whose sum is σ = 6694396800. Its totient is φ = 672841728.

The previous prime is 2240577137. The next prime is 2240577167. The reversal of 2240577144 is 4417750422.

2240577144 is a `hidden beast` number, since 2 + 2 + 40 + 577 + 1 + 44 = 666.

2240577144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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 = 2240577099 and 2240577108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11609112 + ... + 11609304.

It is an arithmetic number, because the mean of its divisors is an integer number (34866650).

Almost surely, 2^2240577144 is an apocalyptic number.

2240577144 is a gapful number since it is divisible by the number (24) 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 2240577144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3347198400).

2240577144 is an abundant number, since it is smaller than the sum of its proper divisors (4453819656).

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

2240577144 is a wasteful number, since it uses less digits than its factorization.

2240577144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The square root of 2240577144 is about 47334.7350684463. The cubic root of 2240577144 is about 1308.5388880146.

The spelling of 2240577144 in words is "two billion, two hundred forty million, five hundred seventy-seven thousand, one hundred forty-four".