2235303840 has 384 divisors, whose sum is σ = 8851949568. Its totient is φ = 460615680.

The previous prime is 2235303839. The next prime is 2235303859. The reversal of 2235303840 is 483035322.

It is a Cunningham number, because it is equal to 47279²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2235303798 and 2235303807.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7280967 + ... + 7281273.

It is an arithmetic number, because the mean of its divisors is an integer number (23051952).

Almost surely, 2^2235303840 is an apocalyptic number.

2235303840 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 2235303840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425974784).

2235303840 is an abundant number, since it is smaller than the sum of its proper divisors (6616645728).

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

2235303840 is a wasteful number, since it uses less digits than its factorization.

2235303840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2235303840 is about 47278.9999894245. Note that the first 4 decimals coincide. The cubic root of 2235303840 is about 1307.5115122672.

The spelling of 2235303840 in words is "two billion, two hundred thirty-five million, three hundred three thousand, eight hundred forty".