2368768900 has 81 divisors (see below), whose sum is σ = 5345437167. Its totient is φ = 911102400.

The previous prime is 2368768879. The next prime is 2368768937. The reversal of 2368768900 is 98678632.

The square root of 2368768900 is 48670.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 286489476 + 2082279424 = 16926^2 + 45632^2 .

It is a super-2 number, since 2×2368768900² = 11222132203214420000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15087622 + ... + 15087778.

Almost surely, 2^2368768900 is an apocalyptic number.

2368768900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2368768900 is the 48670-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2368768900

2368768900 is an abundant number, since it is smaller than the sum of its proper divisors (2976668267).

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

2368768900 is a wasteful number, since it uses less digits than its factorization.

2368768900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The cubic root of 2368768900 is about 1333.0329899894.

Multiplying 2368768900 by its sum of digits (49), we get a square (116069676100 = 340690²).

The spelling of 2368768900 in words is "two billion, three hundred sixty-eight million, seven hundred sixty-eight thousand, nine hundred".