2249735040 has 384 divisors, whose sum is σ = 9272167200. Its totient is φ = 514031616.

The previous prime is 2249735009. The next prime is 2249735063. The reversal of 2249735040 is 405379422.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2249735040² = 10122615500407603200, which contains 22 as substring.

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 = 2249734986 and 2249735004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 845392 + ... + 848048.

Almost surely, 2^2249735040 is an apocalyptic number.

2249735040 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 2249735040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4636083600).

2249735040 is an abundant number, since it is smaller than the sum of its proper divisors (7022432160).

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

2249735040 is a wasteful number, since it uses less digits than its factorization.

2249735040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2674 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2249735040 is about 47431.3718966677. The cubic root of 2249735040 is about 1310.3192586675.

The spelling of 2249735040 in words is "two billion, two hundred forty-nine million, seven hundred thirty-five thousand, forty".