2420005012400 has 120 divisors (see below), whose sum is σ = 5832460530480. Its totient is φ = 964943815680.

The previous prime is 2420005012361. The next prime is 2420005012429. The reversal of 2420005012400 is 42105000242.

It is a happy number.

It is a super-2 number, since 2×2420005012400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167617982 + ... + 167632418.

It is an arithmetic number, because the mean of its divisors is an integer number (48603837754).

Almost surely, 2^{2420005012400} is an apocalyptic number.

2420005012400 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 2420005012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2916230265240).

2420005012400 is an abundant number, since it is smaller than the sum of its proper divisors (3412455518080).

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

2420005012400 is a wasteful number, since it uses less digits than its factorization.

2420005012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15751 (or 15740 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The spelling of 2420005012400 in words is "two trillion, four hundred twenty billion, five million, twelve thousand, four hundred".