2692440144 has 240 divisors, whose sum is σ = 8492402880. Its totient is φ = 791285760.

The previous prime is 2692440139. The next prime is 2692440169. The reversal of 2692440144 is 4410442962.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2692440099 and 2692440108.

It is a congruent number.

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, 4976514 + ... + 4977054.

It is an arithmetic number, because the mean of its divisors is an integer number (35385012).

Almost surely, 2^2692440144 is an apocalyptic number.

2692440144 is a gapful number since it is divisible by the number (24) 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 2692440144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246201440).

2692440144 is an abundant number, since it is smaller than the sum of its proper divisors (5799962736).

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

2692440144 is a wasteful number, since it uses less digits than its factorization.

2692440144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2692440144 is about 51888.7284870231. The cubic root of 2692440144 is about 1391.1758151196.

The spelling of 2692440144 in words is "two billion, six hundred ninety-two million, four hundred forty thousand, one hundred forty-four".