2240001600 has 336 divisors, whose sum is σ = 7889370048. Its totient is φ = 554434560.

The previous prime is 2240001563. The next prime is 2240001677. The reversal of 2240001600 is 61000422.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2240001600.

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, 7915059 + ... + 7915341.

It is an arithmetic number, because the mean of its divisors is an integer number (23480268).

Almost surely, 2^2240001600 is an apocalyptic number.

2240001600 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 2240001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944685024).

2240001600 is an abundant number, since it is smaller than the sum of its proper divisors (5649368448).

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

2240001600 is a wasteful number, since it uses less digits than its factorization.

2240001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2240001600 is about 47328.6551678790. The cubic root of 2240001600 is about 1308.4268356055.

The spelling of 2240001600 in words is "two billion, two hundred forty million, one thousand, six hundred".