2517906048 has 256 divisors, whose sum is σ = 8060774400. Its totient is φ = 680841216.

The previous prime is 2517905987. The next prime is 2517906059. The reversal of 2517906048 is 8406097152.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 8593390 + ... + 8593682.

It is an arithmetic number, because the mean of its divisors is an integer number (31487400).

Almost surely, 2^2517906048 is an apocalyptic number.

2517906048 is a gapful number since it is divisible by the number (28) 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 2517906048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4030387200).

2517906048 is an abundant number, since it is smaller than the sum of its proper divisors (5542868352).

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

2517906048 is a wasteful number, since it uses less digits than its factorization.

2517906048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2517906048 is about 50178.7409965615. The cubic root of 2517906048 is about 1360.4414022822.

The spelling of 2517906048 in words is "two billion, five hundred seventeen million, nine hundred six thousand, forty-eight".