2515135440 has 160 divisors (see below), whose sum is σ = 8000487936. Its totient is φ = 653332480.

The previous prime is 2515135439. The next prime is 2515135451. The reversal of 2515135440 is 445315152.

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 = 2515135398 and 2515135407.

It is a congruent number.

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, 3304660 + ... + 3305420.

Almost surely, 2^2515135440 is an apocalyptic number.

2515135440 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 2515135440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4000243968).

2515135440 is an abundant number, since it is smaller than the sum of its proper divisors (5485352496).

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

2515135440 is a wasteful number, since it uses less digits than its factorization.

2515135440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 2515135440 is about 50151.1260092932. The cubic root of 2515135440 is about 1359.9422264962.

The spelling of 2515135440 in words is "two billion, five hundred fifteen million, one hundred thirty-five thousand, four hundred forty".