2468102400 has 567 divisors, whose sum is σ = 9574759789. Its totient is φ = 629544960.

The previous prime is 2468102393. The next prime is 2468102401. The reversal of 2468102400 is 42018642.

The square root of 2468102400 is 49680.

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

2468102400 is a `hidden beast` number, since 246 + 8 + 10 + 2 + 400 = 666.

It can be written as a sum of positive squares in only one way, i.e., 888516864 + 1579585536 = 29808^2 + 39744^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2468102401) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 107308789 + ... + 107308811.

Almost surely, 2^2468102400 is an apocalyptic number.

2468102400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2468102400 is the 49680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2468102400

2468102400 is an abundant number, since it is smaller than the sum of its proper divisors (7106657389).

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

2468102400 is an frugal number, since it uses more digits than its factorization.

2468102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The cubic root of 2468102400 is about 1351.4118562718.

The spelling of 2468102400 in words is "two billion, four hundred sixty-eight million, one hundred two thousand, four hundred".