2421271418760 has 192 divisors, whose sum is σ = 8014812624000. Its totient is φ = 633823534080.

The previous prime is 2421271418749. The next prime is 2421271418767. The reversal of 2421271418760 is 678141721242.

2421271418760 is a `hidden beast` number, since 2 + 42 + 127 + 1 + 418 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2421271418767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4181725 + ... + 4725395.

It is an arithmetic number, because the mean of its divisors is an integer number (41743815750).

Almost surely, 2^{2421271418760} is an apocalyptic number.

2421271418760 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 2421271418760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4007406312000).

2421271418760 is an abundant number, since it is smaller than the sum of its proper divisors (5593541205240).

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

2421271418760 is a wasteful number, since it uses less digits than its factorization.

2421271418760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543916 (or 543909 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 2421271418760 in words is "two trillion, four hundred twenty-one billion, two hundred seventy-one million, four hundred eighteen thousand, seven hundred sixty".