2612388480 has 384 divisors, whose sum is σ = 9219510720. Its totient is φ = 628752384.

The previous prime is 2612388463. The next prime is 2612388481. The reversal of 2612388480 is 848832162.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (2612388481) 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, 26931792 + ... + 26931888.

Almost surely, 2^2612388480 is an apocalyptic number.

2612388480 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 2612388480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4609755360).

2612388480 is an abundant number, since it is smaller than the sum of its proper divisors (6607122240).

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

2612388480 is a wasteful number, since it uses less digits than its factorization.

2612388480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 2612388480 is about 51111.5298147101. The cubic root of 2612388480 is about 1377.2493835368.

The spelling of 2612388480 in words is "two billion, six hundred twelve million, three hundred eighty-eight thousand, four hundred eighty".