2612454661542 has 64 divisors (see below), whose sum is σ = 5745479122944. Its totient is φ = 785324161440.

The previous prime is 2612454661483. The next prime is 2612454661547. The reversal of 2612454661542 is 2451664542162.

It is a super-2 number, since 2×2612454661542² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2612454661491 and 2612454661500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612454661547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101769793 + ... + 101795459.

It is an arithmetic number, because the mean of its divisors is an integer number (89773111296).

Almost surely, 2^{2612454661542} is an apocalyptic number.

2612454661542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2612454661542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872739561472).

2612454661542 is an abundant number, since it is smaller than the sum of its proper divisors (3133024461402).

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

2612454661542 is a wasteful number, since it uses less digits than its factorization.

2612454661542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37953.

The product of its digits is 2764800, while the sum is 48.

The spelling of 2612454661542 in words is "two trillion, six hundred twelve billion, four hundred fifty-four million, six hundred sixty-one thousand, five hundred forty-two".