2401777560252 has 96 divisors (see below), whose sum is σ = 7000247439360. Its totient is φ = 625022069760.

The previous prime is 2401777560251. The next prime is 2401777560253. The reversal of 2401777560252 is 2520657771042.

It is a happy number.

2401777560252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2401777560251) and next prime (2401777560253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2401777560251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27083427 + ... + 27171962.

It is an arithmetic number, because the mean of its divisors is an integer number (72919244160).

Almost surely, 2^{2401777560252} is an apocalyptic number.

It is an amenable number.

2401777560252 is an abundant number, since it is smaller than the sum of its proper divisors (4598469879108).

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

2401777560252 is a wasteful number, since it uses less digits than its factorization.

2401777560252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54255451 (or 54255449 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 48.

The spelling of 2401777560252 in words is "two trillion, four hundred one billion, seven hundred seventy-seven million, five hundred sixty thousand, two hundred fifty-two".