2512938000 has 160 divisors (see below), whose sum is σ = 8127729792. Its totient is φ = 667968000.

The previous prime is 2512937989. The next prime is 2512938047. The reversal of 2512938000 is 8392152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2945574 + ... + 2946426.

Almost surely, 2^2512938000 is an apocalyptic number.

2512938000 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 2512938000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4063864896).

2512938000 is an abundant number, since it is smaller than the sum of its proper divisors (5614791792).

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

2512938000 is a wasteful number, since it uses less digits than its factorization.

2512938000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 2512938000 is about 50129.2130399032. The cubic root of 2512938000 is about 1359.5460566880.

The spelling of 2512938000 in words is "two billion, five hundred twelve million, nine hundred thirty-eight thousand".