2554152468 has 96 divisors (see below), whose sum is σ = 6975037440. Its totient is φ = 712333440.

The previous prime is 2554152449. The next prime is 2554152473. The reversal of 2554152468 is 8642514552.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 938013 + ... + 940731.

It is an arithmetic number, because the mean of its divisors is an integer number (72656640).

Almost surely, 2^2554152468 is an apocalyptic number.

2554152468 is a gapful number since it is divisible by the number (28) 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 2554152468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3487518720).

2554152468 is an abundant number, since it is smaller than the sum of its proper divisors (4420884972).

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

2554152468 is a wasteful number, since it uses less digits than its factorization.

2554152468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997 (or 2995 counting only the distinct ones).

The product of its digits is 384000, while the sum is 42.

The square root of 2554152468 is about 50538.6235269620. The cubic root of 2554152468 is about 1366.9383862932.

The spelling of 2554152468 in words is "two billion, five hundred fifty-four million, one hundred fifty-two thousand, four hundred sixty-eight".