2240607744 has 360 divisors, whose sum is σ = 7248486960. Its totient is φ = 689762304.

The previous prime is 2240607727. The next prime is 2240607791. The reversal of 2240607744 is 4477060422.

It is a happy number.

2240607744 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 607 + 7 + 44 = 666.

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 = 2240607699 and 2240607708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 77262322 + ... + 77262350.

It is an arithmetic number, because the mean of its divisors is an integer number (20134686).

Almost surely, 2^2240607744 is an apocalyptic number.

2240607744 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 2240607744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3624243480).

2240607744 is an abundant number, since it is smaller than the sum of its proper divisors (5007879216).

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

2240607744 is an frugal number, since it uses more digits than its factorization.

2240607744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 2240607744 is about 47335.0582972072. The cubic root of 2240607744 is about 1308.5448449780.

The spelling of 2240607744 in words is "two billion, two hundred forty million, six hundred seven thousand, seven hundred forty-four".