2715469920 has 240 divisors, whose sum is σ = 9642302208. Its totient is φ = 719677440.

The previous prime is 2715469919. The next prime is 2715469927. The reversal of 2715469920 is 299645172.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2715469927) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 2474812 + ... + 2475908.

Almost surely, 2^2715469920 is an apocalyptic number.

2715469920 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 2715469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4821151104).

2715469920 is an abundant number, since it is smaller than the sum of its proper divisors (6926832288).

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

2715469920 is a wasteful number, since it uses less digits than its factorization.

2715469920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1315 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 2715469920 is about 52110.1709841754. The cubic root of 2715469920 is about 1395.1310317432.

The spelling of 2715469920 in words is "two billion, seven hundred fifteen million, four hundred sixty-nine thousand, nine hundred twenty".