2247551040 has 448 divisors, whose sum is σ = 8895283200. Its totient is φ = 469131264.

The previous prime is 2247550973. The next prime is 2247551071. The reversal of 2247551040 is 401557422.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 2247550989 and 2247551007.

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, 3702417 + ... + 3703023.

Almost surely, 2^2247551040 is an apocalyptic number.

2247551040 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 2247551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447641600).

2247551040 is an abundant number, since it is smaller than the sum of its proper divisors (6647732160).

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

2247551040 is a wasteful number, since it uses less digits than its factorization.

2247551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 672 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 2247551040 is about 47408.3435694604. The cubic root of 2247551040 is about 1309.8951103790.

The spelling of 2247551040 in words is "two billion, two hundred forty-seven million, five hundred fifty-one thousand, forty".