4902100224 has 144 divisors (see below), whose sum is σ = 14946774528. Its totient is φ = 1397200896.

The previous prime is 4902100223. The next prime is 4902100237. The reversal of 4902100224 is 4220012094.

It is a Cunningham number, because it is equal to 70015²-1.

It is a super-2 number, since 2×4902100224² = 48061173212281700352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 4902100194 and 4902100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4902100223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2939839 + ... + 2941505.

Almost surely, 2^4902100224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4902100224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7473387264).

4902100224 is an abundant number, since it is smaller than the sum of its proper divisors (10044674304).

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

4902100224 is a wasteful number, since it uses less digits than its factorization.

4902100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2240 (or 2226 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4902100224 is about 70014.9999928587. Note that the first 5 decimals coincide. The cubic root of 4902100224 is about 1698.7418862116.

The spelling of 4902100224 in words is "four billion, nine hundred two million, one hundred thousand, two hundred twenty-four".