2674026432 has 756 divisors, whose sum is σ = 10513634040. Its totient is φ = 670602240.

The previous prime is 2674026431. The next prime is 2674026469. The reversal of 2674026432 is 2346204762.

2674026432 is a `hidden beast` number, since 2 + 6 + 7 + 4 + 0 + 2 + 643 + 2 = 666.

2674026432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (756).

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 (2674026431) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 92207794 + ... + 92207822.

Almost surely, 2^2674026432 is an apocalyptic number.

2674026432 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 2674026432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5256817020).

2674026432 is an abundant number, since it is smaller than the sum of its proper divisors (7839607608).

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

2674026432 is a wasteful number, since it uses less digits than its factorization.

2674026432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 2674026432 is about 51710.9894703244. The cubic root of 2674026432 is about 1387.9971209180.

The spelling of 2674026432 in words is "two billion, six hundred seventy-four million, twenty-six thousand, four hundred thirty-two".