2515280040 has 640 divisors, whose sum is σ = 10977120000. Its totient is φ = 501645312.

The previous prime is 2515280029. The next prime is 2515280087. The reversal of 2515280040 is 400825152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2515279986 and 2515280013.

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 159 ways as a sum of consecutive naturals, for example, 5601736 + ... + 5602184.

It is an arithmetic number, because the mean of its divisors is an integer number (17151750).

Almost surely, 2^2515280040 is an apocalyptic number.

2515280040 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 2515280040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5488560000).

2515280040 is an abundant number, since it is smaller than the sum of its proper divisors (8461839960).

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

2515280040 is a wasteful number, since it uses less digits than its factorization.

2515280040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2515280040 is about 50152.5676311792. The cubic root of 2515280040 is about 1359.9682878995.

The spelling of 2515280040 in words is "two billion, five hundred fifteen million, two hundred eighty thousand, forty".