2248424640 has 336 divisors, whose sum is σ = 9642896640. Its totient is φ = 467159040.

The previous prime is 2248424627. The next prime is 2248424653. The reversal of 2248424640 is 464248422.

It is a happy number.

2248424640 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 4 + 2 + 4 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (2248424627) and next prime (2248424653).

It is a tau number, because it is divible by the number of its divisors (336).

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 = 2248424595 and 2248424604.

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, 216691 + ... + 226829.

Almost surely, 2^2248424640 is an apocalyptic number.

2248424640 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 2248424640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821448320).

2248424640 is an abundant number, since it is smaller than the sum of its proper divisors (7394472000).

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

2248424640 is a wasteful number, since it uses less digits than its factorization.

2248424640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10180 (or 10167 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The square root of 2248424640 is about 47417.5562423877. The cubic root of 2248424640 is about 1310.0648026526.

The spelling of 2248424640 in words is "two billion, two hundred forty-eight million, four hundred twenty-four thousand, six hundred forty".