2248756020 has 576 divisors, whose sum is σ = 8805888000. Its totient is φ = 480090240.

The previous prime is 2248756009. The next prime is 2248756043. The reversal of 2248756020 is 206578422.

2248756020 is a `hidden beast` number, since 2 + 2 + 48 + 7 + 5 + 602 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31672585 + ... + 31672655.

It is an arithmetic number, because the mean of its divisors is an integer number (15288000).

Almost surely, 2^2248756020 is an apocalyptic number.

2248756020 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 2248756020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4402944000).

2248756020 is an abundant number, since it is smaller than the sum of its proper divisors (6557131980).

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

2248756020 is a wasteful number, since it uses less digits than its factorization.

2248756020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 2248756020 is about 47421.0503890414. The cubic root of 2248756020 is about 1310.1291600016.

The spelling of 2248756020 in words is "two billion, two hundred forty-eight million, seven hundred fifty-six thousand, twenty".