2235479904 has 192 divisors, whose sum is σ = 7519841280. Its totient is φ = 632862720.

The previous prime is 2235479893. The next prime is 2235479933. The reversal of 2235479904 is 4099745322.

2235479904 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 self number, because there is not a number n which added to its sum of digits gives 2235479904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 681789 + ... + 685059.

It is an arithmetic number, because the mean of its divisors is an integer number (39165840).

Almost surely, 2^2235479904 is an apocalyptic number.

2235479904 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 2235479904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3759920640).

2235479904 is an abundant number, since it is smaller than the sum of its proper divisors (5284361376).

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

2235479904 is a wasteful number, since it uses less digits than its factorization.

2235479904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3410 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2235479904 is about 47280.8619210775. The cubic root of 2235479904 is about 1307.5458401378.

The spelling of 2235479904 in words is "two billion, two hundred thirty-five million, four hundred seventy-nine thousand, nine hundred four".