2454163920 has 480 divisors, whose sum is σ = 9378149760. Its totient is φ = 596823552.

The previous prime is 2454163913. The next prime is 2454163939. The reversal of 2454163920 is 293614542.

It is a happy number.

2454163920 is a `hidden beast` number, since 24 + 541 + 6 + 3 + 92 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29568199 + ... + 29568281.

It is an arithmetic number, because the mean of its divisors is an integer number (19537812).

Almost surely, 2^2454163920 is an apocalyptic number.

2454163920 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 2454163920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4689074880).

2454163920 is an abundant number, since it is smaller than the sum of its proper divisors (6923985840).

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

2454163920 is an equidigital number, since it uses as much as digits as its factorization.

2454163920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2454163920 is about 49539.5187703716. The cubic root of 2454163920 is about 1348.8630427341.

The spelling of 2454163920 in words is "two billion, four hundred fifty-four million, one hundred sixty-three thousand, nine hundred twenty".