2248377600 has 216 divisors, whose sum is σ = 8480637760. Its totient is φ = 513884160.

The previous prime is 2248377583. The next prime is 2248377601. The reversal of 2248377600 is 67738422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2248377601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126036 + ... + 142764.

Almost surely, 2^2248377600 is an apocalyptic number.

2248377600 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 2248377600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240318880).

2248377600 is an abundant number, since it is smaller than the sum of its proper divisors (6232260160).

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

2248377600 is a wasteful number, since it uses less digits than its factorization.

2248377600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16765 (or 16746 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2248377600 is about 47417.0602209795. The cubic root of 2248377600 is about 1310.0556664961.

The spelling of 2248377600 in words is "two billion, two hundred forty-eight million, three hundred seventy-seven thousand, six hundred".