2696970240 has 384 divisors, whose sum is σ = 9814521600. Its totient is φ = 684195840.

The previous prime is 2696970239. The next prime is 2696970281. The reversal of 2696970240 is 420796962.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45711331 + ... + 45711389.

It is an arithmetic number, because the mean of its divisors is an integer number (25558650).

It is a vampire number, since it can be written as 29760 ⋅ 90624 (with its own digits).

Almost surely, 2^2696970240 is an apocalyptic number.

2696970240 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 2696970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907260800).

2696970240 is an abundant number, since it is smaller than the sum of its proper divisors (7117551360).

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

2696970240 is an equidigital number, since it uses as much as digits as its factorization.

2696970240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2696970240 is about 51932.3621646464. The cubic root of 2696970240 is about 1391.9556069869.

The spelling of 2696970240 in words is "two billion, six hundred ninety-six million, nine hundred seventy thousand, two hundred forty".