2420743292352 has 2016 divisors, whose sum is σ = 9757106419200. Its totient is φ = 575750799360.

The previous prime is 2420743292333. The next prime is 2420743292381. The reversal of 2420743292352 is 2532923470242.

2420743292352 is a `hidden beast` number, since 2 + 4 + 2 + 0 + 7 + 4 + 3 + 292 + 352 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a junction number, because it is equal to n+sod(n) for n = 2420743292298 and 2420743292307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 24956116368 + ... + 24956116464.

Almost surely, 2^{2420743292352} is an apocalyptic number.

2420743292352 is a gapful number since it is divisible by the number (22) 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 2420743292352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4878553209600).

2420743292352 is an abundant number, since it is smaller than the sum of its proper divisors (7336363126848).

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

2420743292352 is a wasteful number, since it uses less digits than its factorization.

2420743292352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 2420743292352 in words is "two trillion, four hundred twenty billion, seven hundred forty-three million, two hundred ninety-two thousand, three hundred fifty-two".