2456421000 has 384 divisors, whose sum is σ = 8634487680. Its totient is φ = 580800000.

The previous prime is 2456420977. The next prime is 2456421029. The reversal of 2456421000 is 1246542.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24320950 + ... + 24321050.

It is an arithmetic number, because the mean of its divisors is an integer number (22485645).

Almost surely, 2^2456421000 is an apocalyptic number.

2456421000 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 2456421000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317243840).

2456421000 is an abundant number, since it is smaller than the sum of its proper divisors (6178066680).

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

2456421000 is a wasteful number, since it uses less digits than its factorization.

2456421000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2456421000 is about 49562.2941357641. The cubic root of 2456421000 is about 1349.2764298099.

Adding to 2456421000 its reverse (1246542), we get a palindrome (2457667542).

It can be divided in two parts, 245642 and 1000, that added together give a palindrome (246642).

The spelling of 2456421000 in words is "two billion, four hundred fifty-six million, four hundred twenty-one thousand".