2464052400 has 300 divisors, whose sum is σ = 9000149400. Its totient is φ = 645442560.

The previous prime is 2464052387. The next prime is 2464052401. The reversal of 2464052400 is 42504642.

2464052400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is not an unprimeable number, because it can be changed into a prime (2464052401) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1910956 + ... + 1912244.

It is an arithmetic number, because the mean of its divisors is an integer number (30000498).

Almost surely, 2^2464052400 is an apocalyptic number.

2464052400 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 2464052400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4500074700).

2464052400 is an abundant number, since it is smaller than the sum of its proper divisors (6536097000).

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

2464052400 is a wasteful number, since it uses less digits than its factorization.

2464052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1358 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2464052400 is about 49639.2223951987. Note that the first 3 decimals coincide. The cubic root of 2464052400 is about 1350.6722577737.

The spelling of 2464052400 in words is "two billion, four hundred sixty-four million, fifty-two thousand, four hundred".