2552400020 has 48 divisors (see below), whose sum is σ = 5509701120. Its totient is φ = 992670336.

The previous prime is 2552400007. The next prime is 2552400061. The reversal of 2552400020 is 200042552.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2552399965 and 2552400001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185126 + ... + 198434.

It is an arithmetic number, because the mean of its divisors is an integer number (114785440).

Almost surely, 2^2552400020 is an apocalyptic number.

2552400020 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 2552400020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754850560).

2552400020 is an abundant number, since it is smaller than the sum of its proper divisors (2957301100).

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

2552400020 is a wasteful number, since it uses less digits than its factorization.

2552400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13584 (or 13582 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

The square root of 2552400020 is about 50521.2828419865. The cubic root of 2552400020 is about 1366.6256881097.

Adding to 2552400020 its reverse (200042552), we get a palindrome (2752442572).

The spelling of 2552400020 in words is "two billion, five hundred fifty-two million, four hundred thousand, twenty".