2507967000 has 864 divisors, whose sum is σ = 11069472960. Its totient is φ = 510048000.

The previous prime is 2507966983. The next prime is 2507967013. The reversal of 2507967000 is 7697052.

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 215 ways as a sum of consecutive naturals, for example, 53360977 + ... + 53361023.

It is an arithmetic number, because the mean of its divisors is an integer number (12811890).

Almost surely, 2^2507967000 is an apocalyptic number.

2507967000 is a gapful number since it is divisible by the number (20) 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 2507967000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534736480).

2507967000 is an abundant number, since it is smaller than the sum of its proper divisors (8561505960).

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

2507967000 is a wasteful number, since it uses less digits than its factorization.

2507967000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 2507967000 is about 50079.6066278480. The cubic root of 2507967000 is about 1358.6489971913.

The spelling of 2507967000 in words is "two billion, five hundred seven million, nine hundred sixty-seven thousand".