2534952941456 has 40 divisors (see below), whose sum is σ = 5289977070840. Its totient is φ = 1169823384576.

The previous prime is 2534952941377. The next prime is 2534952941491. The reversal of 2534952941456 is 6541492594352.

2534952941456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 190808217856 + 2344144723600 = 436816^2 + 1531060^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2534952941395 and 2534952941404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 775556 + ... + 2381468.

It is an arithmetic number, because the mean of its divisors is an integer number (132249426771).

Almost surely, 2^{2534952941456} is an apocalyptic number.

2534952941456 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2534952941456 is an abundant number, since it is smaller than the sum of its proper divisors (2755024129384).

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

2534952941456 is a wasteful number, since it uses less digits than its factorization.

2534952941456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613523 (or 1613517 counting only the distinct ones).

The product of its digits is 46656000, while the sum is 59.

The spelling of 2534952941456 in words is "two trillion, five hundred thirty-four billion, nine hundred fifty-two million, nine hundred forty-one thousand, four hundred fifty-six".