2427137064 has 384 divisors, whose sum is σ = 8039116800. Its totient is φ = 658627200.

The previous prime is 2427137047. The next prime is 2427137071. The reversal of 2427137064 is 4607317242.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56445027 + ... + 56445069.

It is an arithmetic number, because the mean of its divisors is an integer number (20935200).

Almost surely, 2^2427137064 is an apocalyptic number.

2427137064 is a gapful number since it is divisible by the number (24) 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 2427137064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4019558400).

2427137064 is an abundant number, since it is smaller than the sum of its proper divisors (5611979736).

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

2427137064 is a wasteful number, since it uses less digits than its factorization.

2427137064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2427137064 is about 49265.9828279108. The cubic root of 2427137064 is about 1343.8932339721.

The spelling of 2427137064 in words is "two billion, four hundred twenty-seven million, one hundred thirty-seven thousand, sixty-four".