2738003040 has 96 divisors (see below), whose sum is σ = 9583025760. Its totient is φ = 730132992.

The previous prime is 2738002979. The next prime is 2738003077. The reversal of 2738003040 is 403008372.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2738002995 and 2738003013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312579 + ... + 321218.

It is an arithmetic number, because the mean of its divisors is an integer number (99823185).

Almost surely, 2^2738003040 is an apocalyptic number.

2738003040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2738003040 is an abundant number, since it is smaller than the sum of its proper divisors (6845022720).

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

2738003040 is a wasteful number, since it uses less digits than its factorization.

2738003040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633821 (or 633807 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2738003040 is about 52325.9308565075. The cubic root of 2738003040 is about 1398.9793649559.

The spelling of 2738003040 in words is "two billion, seven hundred thirty-eight million, three thousand, forty".