2554936020 has 576 divisors, whose sum is σ = 10170800640. Its totient is φ = 524040192.

The previous prime is 2554936003. The next prime is 2554936057. The reversal of 2554936020 is 206394552.

2554936020 is a `hidden beast` number, since 2 + 5 + 5 + 49 + 3 + 602 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23439726 + ... + 23439834.

It is an arithmetic number, because the mean of its divisors is an integer number (17657640).

Almost surely, 2^2554936020 is an apocalyptic number.

2554936020 is a gapful number since it is divisible by the number (20) 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 2554936020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5085400320).

2554936020 is an abundant number, since it is smaller than the sum of its proper divisors (7615864620).

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

2554936020 is a wasteful number, since it uses less digits than its factorization.

2554936020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2554936020 is about 50546.3749442035. The cubic root of 2554936020 is about 1367.0781531778.

The spelling of 2554936020 in words is "two billion, five hundred fifty-four million, nine hundred thirty-six thousand, twenty".