2248971480 has 640 divisors, whose sum is σ = 9659865600. Its totient is φ = 456855552.

The previous prime is 2248971469. The next prime is 2248971493. The reversal of 2248971480 is 841798422.

2248971480 is a `hidden beast` number, since 2 + 24 + 89 + 71 + 480 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 159 ways as a sum of consecutive naturals, for example, 7325487 + ... + 7325793.

It is an arithmetic number, because the mean of its divisors is an integer number (15093540).

Almost surely, 2^2248971480 is an apocalyptic number.

2248971480 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 2248971480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829932800).

2248971480 is an abundant number, since it is smaller than the sum of its proper divisors (7410894120).

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

2248971480 is a wasteful number, since it uses less digits than its factorization.

2248971480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2248971480 is about 47423.3221105397. The cubic root of 2248971480 is about 1310.1710011220.

The spelling of 2248971480 in words is "two billion, two hundred forty-eight million, nine hundred seventy-one thousand, four hundred eighty".