2467039680 has 280 divisors, whose sum is σ = 10030102368. Its totient is φ = 563853312.

The previous prime is 2467039669. The next prime is 2467039681. The reversal of 2467039680 is 869307642.

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2467039681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 174642 + ... + 188238.

Almost surely, 2^2467039680 is an apocalyptic number.

2467039680 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 2467039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5015051184).

2467039680 is an abundant number, since it is smaller than the sum of its proper divisors (7563062688).

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

2467039680 is a wasteful number, since it uses less digits than its factorization.

2467039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13633 (or 13614 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2467039680 is about 49669.3031962398. The cubic root of 2467039680 is about 1351.2178639714.

The spelling of 2467039680 in words is "two billion, four hundred sixty-seven million, thirty-nine thousand, six hundred eighty".