2248436736 has 396 divisors, whose sum is σ = 8154461952. Its totient is φ = 591446016.

The previous prime is 2248436693. The next prime is 2248436741. The reversal of 2248436736 is 6376348422.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2248436691 and 2248436700.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5870401 + ... + 5870783.

Almost surely, 2^2248436736 is an apocalyptic number.

2248436736 is a gapful number since it is divisible by the number (26) 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 2248436736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4077230976).

2248436736 is an abundant number, since it is smaller than the sum of its proper divisors (5906025216).

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

2248436736 is a wasteful number, since it uses less digits than its factorization.

2248436736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 408 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The square root of 2248436736 is about 47417.6837899111. The cubic root of 2248436736 is about 1310.0671519293.

The spelling of 2248436736 in words is "two billion, two hundred forty-eight million, four hundred thirty-six thousand, seven hundred thirty-six".