2507266432 has 128 divisors (see below), whose sum is σ = 5737132800. Its totient is φ = 1080330240.

The previous prime is 2507266387. The next prime is 2507266439. The reversal of 2507266432 is 2346627052.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×2507266432² = 12572769922068021248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2507266391 and 2507266400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2507266439) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4501098 + ... + 4501654.

It is an arithmetic number, because the mean of its divisors is an integer number (44821350).

Almost surely, 2^2507266432 is an apocalyptic number.

2507266432 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 2507266432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2868566400).

2507266432 is an abundant number, since it is smaller than the sum of its proper divisors (3229866368).

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

2507266432 is a wasteful number, since it uses less digits than its factorization.

2507266432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The square root of 2507266432 is about 50072.6115955619. The cubic root of 2507266432 is about 1358.5224784278.

The spelling of 2507266432 in words is "two billion, five hundred seven million, two hundred sixty-six thousand, four hundred thirty-two".