2291428440 has 320 divisors, whose sum is σ = 8932239360. Its totient is φ = 516015360.

The previous prime is 2291428439. The next prime is 2291428471. The reversal of 2291428440 is 448241922.

2291428440 is a `hidden beast` number, since 229 + 1 + 428 + 4 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2291428395 and 2291428404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1609569 + ... + 1610991.

It is an arithmetic number, because the mean of its divisors is an integer number (27913248).

Almost surely, 2^2291428440 is an apocalyptic number.

2291428440 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 2291428440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4466119680).

2291428440 is an abundant number, since it is smaller than the sum of its proper divisors (6640810920).

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

2291428440 is a wasteful number, since it uses less digits than its factorization.

2291428440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1524 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2291428440 is about 47868.8671267662. The cubic root of 2291428440 is about 1318.3642962370.

The spelling of 2291428440 in words is "two billion, two hundred ninety-one million, four hundred twenty-eight thousand, four hundred forty".