7402252032 has 324 divisors, whose sum is σ = 25036404120. Its totient is φ = 2097156096.

The previous prime is 7402252027. The next prime is 7402252037. The reversal of 7402252032 is 2302522047.

7402252032 is a `hidden beast` number, since 7 + 402 + 252 + 0 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (7402252027) and next prime (7402252037).

It is a junction number, because it is equal to n+sod(n) for n = 7402251987 and 7402252005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7402252037) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19530819 + ... + 19531197.

Almost surely, 2^7402252032 is an apocalyptic number.

7402252032 is a gapful number since it is divisible by the number (72) 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 7402252032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12518202060).

7402252032 is an abundant number, since it is smaller than the sum of its proper divisors (17634152088).

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

7402252032 is a wasteful number, since it uses less digits than its factorization.

7402252032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 588 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 7402252032 is about 86036.3413448061. The cubic root of 7402252032 is about 1948.8928215796.

Adding to 7402252032 its reverse (2302522047), we get a palindrome (9704774079).

The spelling of 7402252032 in words is "seven billion, four hundred two million, two hundred fifty-two thousand, thirty-two".