2546403240 has 128 divisors (see below), whose sum is σ = 8069529600. Its totient is φ = 641813760.

The previous prime is 2546403229. The next prime is 2546403281. The reversal of 2546403240 is 423046452.

2546403240 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2546403198 and 2546403207.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152001 + ... + 167919.

It is an arithmetic number, because the mean of its divisors is an integer number (63043200).

Almost surely, 2^2546403240 is an apocalyptic number.

2546403240 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 2546403240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4034764800).

2546403240 is an abundant number, since it is smaller than the sum of its proper divisors (5523126360).

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

2546403240 is a wasteful number, since it uses less digits than its factorization.

2546403240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16007 (or 16003 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 2546403240 is about 50461.8988941161. The cubic root of 2546403240 is about 1365.5545680973.

Adding to 2546403240 its reverse (423046452), we get a palindrome (2969449692).

The spelling of 2546403240 in words is "two billion, five hundred forty-six million, four hundred three thousand, two hundred forty".