2484140400 has 420 divisors, whose sum is σ = 10234834512. Its totient is φ = 567336960.

The previous prime is 2484140387. The next prime is 2484140423. The reversal of 2484140400 is 40414842.

It is a happy number.

2484140400 is a `hidden beast` number, since 2 + 484 + 140 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

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

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 83 ways as a sum of consecutive naturals, for example, 2040592 + ... + 2041808.

Almost surely, 2^2484140400 is an apocalyptic number.

2484140400 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 2484140400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117417256).

2484140400 is an abundant number, since it is smaller than the sum of its proper divisors (7750694112).

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

2484140400 is a wasteful number, since it uses less digits than its factorization.

2484140400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2484140400 is about 49841.1516720872. The cubic root of 2484140400 is about 1354.3327460948.

It can be divided in two parts, 2484 and 140400, that added together give a square (142884 = 378²).

The spelling of 2484140400 in words is "two billion, four hundred eighty-four million, one hundred forty thousand, four hundred".