2612488032 has 384 divisors, whose sum is σ = 9614868480. Its totient is φ = 670394880.

The previous prime is 2612488009. The next prime is 2612488037. The reversal of 2612488032 is 2308842162.

2612488032 is a `hidden beast` number, since 2 + 612 + 4 + 8 + 8 + 0 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2612488037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7118313 + ... + 7118679.

It is an arithmetic number, because the mean of its divisors is an integer number (25038720).

Almost surely, 2^2612488032 is an apocalyptic number.

2612488032 is a gapful number since it is divisible by the number (22) 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 2612488032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807434240).

2612488032 is an abundant number, since it is smaller than the sum of its proper divisors (7002380448).

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

2612488032 is a wasteful number, since it uses less digits than its factorization.

2612488032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2612488032 is about 51112.5036757152. The cubic root of 2612488032 is about 1377.2668778962.

The spelling of 2612488032 in words is "two billion, six hundred twelve million, four hundred eighty-eight thousand, thirty-two".