2454036480 has 448 divisors, whose sum is σ = 10002804480. Its totient is φ = 559153152.

The previous prime is 2454036461. The next prime is 2454036499. The reversal of 2454036480 is 846304542.

2454036480 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 0 + 3 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2454036461) and next prime (2454036499).

It is a tau number, because it is divible by the number of its divisors (448).

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 31 ways as a sum of consecutive naturals, for example, 7741282 + ... + 7741598.

Almost surely, 2^2454036480 is an apocalyptic number.

2454036480 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 2454036480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001402240).

2454036480 is an abundant number, since it is smaller than the sum of its proper divisors (7548768000).

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

2454036480 is an equidigital number, since it uses as much as digits as its factorization.

2454036480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2454036480 is about 49538.2325078318. The cubic root of 2454036480 is about 1348.8396943777.

The spelling of 2454036480 in words is "two billion, four hundred fifty-four million, thirty-six thousand, four hundred eighty".