2248871040 has 640 divisors, whose sum is σ = 8957329920. Its totient is φ = 534159360.

The previous prime is 2248871039. The next prime is 2248871041. The reversal of 2248871040 is 401788422.

It is an interprime number because it is at equal distance from previous prime (2248871039) and next prime (2248871041).

It is a tau number, because it is divible by the number of its divisors (640).

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 = 2248870986 and 2248871004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248871041) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31674205 + ... + 31674275.

It is an arithmetic number, because the mean of its divisors is an integer number (13995828).

Almost surely, 2^2248871040 is an apocalyptic number.

2248871040 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 2248871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4478664960).

2248871040 is an abundant number, since it is smaller than the sum of its proper divisors (6708458880).

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

2248871040 is a wasteful number, since it uses less digits than its factorization.

2248871040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2248871040 is about 47422.2631260888. The cubic root of 2248871040 is about 1310.1514965713.

It can be divided in two parts, 22488 and 71040, that added together give a triangular number (93528 = T₄₃₂).

The spelling of 2248871040 in words is "two billion, two hundred forty-eight million, eight hundred seventy-one thousand, forty".