2506922240 has 72 divisors (see below), whose sum is σ = 6040105848. Its totient is φ = 996884480.

The previous prime is 2506922239. The next prime is 2506922261. The reversal of 2506922240 is 422296052.

It can be written as a sum of positive squares in 4 ways, for example, as 232013824 + 2274908416 = 15232^2 + 47696^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 2506922197 and 2506922206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 215780 + ... + 227100.

It is an arithmetic number, because the mean of its divisors is an integer number (83890359).

Almost surely, 2^2506922240 is an apocalyptic number.

2506922240 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 2506922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3020052924).

2506922240 is an abundant number, since it is smaller than the sum of its proper divisors (3533183608).

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

2506922240 is a wasteful number, since it uses less digits than its factorization.

2506922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11515 (or 11501 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2506922240 is about 50069.1745488180. The cubic root of 2506922240 is about 1358.4603105941.

It can be divided in two parts, 250 and 6922240, that multiplied together give a square (1730560000 = 41600²).

The spelling of 2506922240 in words is "two billion, five hundred six million, nine hundred twenty-two thousand, two hundred forty".