2249295840 has 288 divisors, whose sum is σ = 8867136096. Its totient is φ = 513146880.

The previous prime is 2249295827. The next prime is 2249295859. The reversal of 2249295840 is 485929422.

2249295840 is a `hidden beast` number, since 2 + 2 + 49 + 29 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 265104 + ... + 273456.

It is an arithmetic number, because the mean of its divisors is an integer number (30788667).

Almost surely, 2^2249295840 is an apocalyptic number.

2249295840 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 2249295840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4433568048).

2249295840 is an abundant number, since it is smaller than the sum of its proper divisors (6617840256).

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

2249295840 is a wasteful number, since it uses less digits than its factorization.

2249295840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8402 (or 8391 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2249295840 is about 47426.7418235746. The cubic root of 2249295840 is about 1310.2339849705.

The spelling of 2249295840 in words is "two billion, two hundred forty-nine million, two hundred ninety-five thousand, eight hundred forty".