2562748240 has 80 divisors (see below), whose sum is σ = 6467586048. Its totient is φ = 938746368.

The previous prime is 2562748211. The next prime is 2562748301. The reversal of 2562748240 is 428472652.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2562748193 and 2562748202.

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 15 ways as a sum of consecutive naturals, for example, 122379 + ... + 141781.

Almost surely, 2^2562748240 is an apocalyptic number.

2562748240 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 2562748240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233793024).

2562748240 is an abundant number, since it is smaller than the sum of its proper divisors (3904837808).

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

2562748240 is a wasteful number, since it uses less digits than its factorization.

2562748240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19556 (or 19550 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 40.

The square root of 2562748240 is about 50623.5937088627. The cubic root of 2562748240 is about 1368.4701056370.

The spelling of 2562748240 in words is "two billion, five hundred sixty-two million, seven hundred forty-eight thousand, two hundred forty".