2507721216 has 480 divisors, whose sum is σ = 9169288128. Its totient is φ = 598671360.

The previous prime is 2507721193. The next prime is 2507721239. The reversal of 2507721216 is 6121277052.

It is an interprime number because it is at equal distance from previous prime (2507721193) and next prime (2507721239).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10762636 + ... + 10762868.

Almost surely, 2^2507721216 is an apocalyptic number.

2507721216 is a gapful number since it is divisible by the number (26) 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 2507721216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4584644064).

2507721216 is an abundant number, since it is smaller than the sum of its proper divisors (6661566912).

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

2507721216 is a wasteful number, since it uses less digits than its factorization.

2507721216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 2507721216 is about 50077.1526347096. The cubic root of 2507721216 is about 1358.6046126234.

Adding to 2507721216 its reverse (6121277052), we get a palindrome (8628998268).

The spelling of 2507721216 in words is "two billion, five hundred seven million, seven hundred twenty-one thousand, two hundred sixteen".