2508078240 has 288 divisors, whose sum is σ = 9153720576. Its totient is φ = 623800320.

The previous prime is 2508078233. The next prime is 2508078241. The reversal of 2508078240 is 428708052.

It is a happy number.

2508078240 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 tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×2508078240² = 12580912915922995200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2508078195 and 2508078204.

It is not an unprimeable number, because it can be changed into a prime (2508078241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1356997 + ... + 1358843.

It is an arithmetic number, because the mean of its divisors is an integer number (31783752).

Almost surely, 2^2508078240 is an apocalyptic number.

2508078240 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 2508078240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4576860288).

2508078240 is an abundant number, since it is smaller than the sum of its proper divisors (6645642336).

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

2508078240 is a wasteful number, since it uses less digits than its factorization.

2508078240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 2508078240 is about 50080.7172472599. The cubic root of 2508078240 is about 1358.6690843615.

The spelling of 2508078240 in words is "two billion, five hundred eight million, seventy-eight thousand, two hundred forty".