2240877408 has 432 divisors, whose sum is σ = 7825047552. Its totient is φ = 558835200.

The previous prime is 2240877403. The next prime is 2240877437. The reversal of 2240877408 is 8047780422.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2240877408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240877403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17644641 + ... + 17644767.

It is an arithmetic number, because the mean of its divisors is an integer number (18113536).

Almost surely, 2^2240877408 is an apocalyptic number.

2240877408 is a gapful number since it is divisible by the number (28) 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 2240877408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912523776).

2240877408 is an abundant number, since it is smaller than the sum of its proper divisors (5584170144).

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

2240877408 is a wasteful number, since it uses less digits than its factorization.

2240877408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 42.

The square root of 2240877408 is about 47337.9066710813. The cubic root of 2240877408 is about 1308.5973386645.

The spelling of 2240877408 in words is "two billion, two hundred forty million, eight hundred seventy-seven thousand, four hundred eight".