2288879040 has 448 divisors, whose sum is σ = 8848465920. Its totient is φ = 489984000.

The previous prime is 2288879039. The next prime is 2288879093. The reversal of 2288879040 is 409788822.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 9118915 + ... + 9119165.

It is an arithmetic number, because the mean of its divisors is an integer number (19751040).

Almost surely, 2^2288879040 is an apocalyptic number.

2288879040 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 2288879040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424232960).

2288879040 is an abundant number, since it is smaller than the sum of its proper divisors (6559586880).

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

2288879040 is a wasteful number, since it uses less digits than its factorization.

2288879040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The square root of 2288879040 is about 47842.2307172230. The cubic root of 2288879040 is about 1317.8751857292.

The spelling of 2288879040 in words is "two billion, two hundred eighty-eight million, eight hundred seventy-nine thousand, forty".