2554542768 has 80 divisors (see below), whose sum is σ = 6723069696. Its totient is φ = 835633920.

The previous prime is 2554542763. The next prime is 2554542787. The reversal of 2554542768 is 8672454552.

It is a super-2 number, since 2×2554542768² = 13051377507082203648, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2554542763) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 940933 + ... + 943643.

Almost surely, 2^2554542768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2554542768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361534848).

2554542768 is an abundant number, since it is smaller than the sum of its proper divisors (4168526928).

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

2554542768 is a wasteful number, since it uses less digits than its factorization.

2554542768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3082 (or 3076 counting only the distinct ones).

The product of its digits is 2688000, while the sum is 48.

The square root of 2554542768 is about 50542.4847826064. The cubic root of 2554542768 is about 1367.0080100250.

The spelling of 2554542768 in words is "two billion, five hundred fifty-four million, five hundred forty-two thousand, seven hundred sixty-eight".