2248416900 has 72 divisors (see below), whose sum is σ = 7228252640. Its totient is φ = 599577120.

The previous prime is 2248416881. The next prime is 2248416943. The reversal of 2248416900 is 96148422.

It is a super-2 number, since 2×2248416900² = 10110757112411220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 413674 + ... + 419073.

Almost surely, 2^2248416900 is an apocalyptic number.

2248416900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2248416900 is an abundant number, since it is smaller than the sum of its proper divisors (4979835740).

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

2248416900 is a wasteful number, since it uses less digits than its factorization.

2248416900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832770 (or 832757 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2248416900 is about 47417.4746269769. The cubic root of 2248416900 is about 1310.0632993907.

The spelling of 2248416900 in words is "two billion, two hundred forty-eight million, four hundred sixteen thousand, nine hundred".