1653542040 has 32 divisors (see below), whose sum is σ = 4960626480. Its totient is φ = 440944512.

The previous prime is 1653542029. The next prime is 1653542047. The reversal of 1653542040 is 402453561.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1653541989 and 1653542007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1653542047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6889639 + ... + 6889878.

Almost surely, 2^1653542040 is an apocalyptic number.

1653542040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1653542040 is an abundant number, since it is smaller than the sum of its proper divisors (3307084440).

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

1653542040 is a wasteful number, since it uses less digits than its factorization.

1653542040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13779531 (or 13779527 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 1653542040 is about 40663.7681480701. The cubic root of 1653542040 is about 1182.5107031796.

The spelling of 1653542040 in words is "one billion, six hundred fifty-three million, five hundred forty-two thousand, forty".